Homework: The Other White Meat.
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I hate when people say algebra is easy. Especially more when they try to avoid solving this HARD problem
m+n=3
m²+n²=6
m³+n³=?(27/2)
None of my teachers can solve it... yet people say algebra is easy.
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m+n=3
m²+n²=6
m³+n³=?(27/2)
None of my teachers can solve it... yet people say algebra is easy.
I hate when fat people walk by. (it can go unsaid)
I'm a noob.
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If I'm not mistaken,
n = 2.366025404
m = 0.633974595
or to be more exact,
n = (6 + 12^0.5)/4
m = 3 - [(6 + 12^0.5)/4]
I find it hard to believe that your math teacher couldn't solve that.
*corrected the -4 error.
n = 2.366025404
m = 0.633974595
or to be more exact,
n = (6 + 12^0.5)/4
m = 3 - [(6 + 12^0.5)/4]
I find it hard to believe that your math teacher couldn't solve that.
*corrected the -4 error.
Last edited by neo-dragon on Tue Mar 23, 2010 7:55 pm, edited 1 time in total.
"Deep in the human unconscious is a pervasive need for a logical universe that makes sense. But the real universe is always one step beyond logic."
- Frank Herbert's 'Dune'
- Frank Herbert's 'Dune'
I know my Algebra 2 teacher, last year, wouldn't have been able to solve it, either.
She didn't really teach that well, and when I asked her one question off my SAT practice book, which was hard, she wasn't able to answer.
Neodragon, how exactly did you figure it out?
What steps?
She didn't really teach that well, and when I asked her one question off my SAT practice book, which was hard, she wasn't able to answer.
Neodragon, how exactly did you figure it out?
What steps?
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- rearrange the first equation to isolate one variable.
- substitute into the second equation so that it now has only one variable.
- expand and collect like-terms, and bring everything to one side of the equation so that it is in the form ax^2 + bx + c = 0
- Use the quadratic equation, which will give two possible solutions, only one of which works with the third equation.
Not to sound smug or anything, but any high school level math teacher should be able to solve that pretty easily since the only trick is using the quadratic equation which is taught in what, 9th grade?
- substitute into the second equation so that it now has only one variable.
- expand and collect like-terms, and bring everything to one side of the equation so that it is in the form ax^2 + bx + c = 0
- Use the quadratic equation, which will give two possible solutions, only one of which works with the third equation.
Not to sound smug or anything, but any high school level math teacher should be able to solve that pretty easily since the only trick is using the quadratic equation which is taught in what, 9th grade?
"Deep in the human unconscious is a pervasive need for a logical universe that makes sense. But the real universe is always one step beyond logic."
- Frank Herbert's 'Dune'
- Frank Herbert's 'Dune'
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m+n=3 (m+n)(m+n) = 9 = m²+2mn+n²
m²+n²=6 so 2mn=3 mn=3/2
(m+n)(m²+n²)=m³+m²n+mn²+n³=18
mn(m+n)=m²n+mn²=9/2
so m³+n³=27/2
2 SOLUTIONS
m=(3+sqrt3)/2
n=(3-sqrt3)/2
n=(3+sqrt3)/2
m=(3-sqrt3)/2
m²+n² = [(3-sqrt3)(3-sqrt3)]*[(3+sqrt3)(3+sqrt3)] (make it simpler, 1/2 x 1/2 = 1/4) = [9-2sqrt3+3]+[9+2sqrt3+3] / 4 = 24/4=6
Any more questions? I'm only in Geometry... Freshman in hs...
Things that I hate: problems like the above
m=3 - [-3/2 - sqrt 3/2] is also incorrect.
n=(6+12^0.5)/4 is correct.
m=3-[(6+12^0.5)/4] is also correct.
Don't you just hate those?
m²+n²=6 so 2mn=3 mn=3/2
(m+n)(m²+n²)=m³+m²n+mn²+n³=18
mn(m+n)=m²n+mn²=9/2
so m³+n³=27/2
2 SOLUTIONS
m=(3+sqrt3)/2
n=(3-sqrt3)/2
n=(3+sqrt3)/2
m=(3-sqrt3)/2
m²+n² = [(3-sqrt3)(3-sqrt3)]*[(3+sqrt3)(3+sqrt3)] (make it simpler, 1/2 x 1/2 = 1/4) = [9-2sqrt3+3]+[9+2sqrt3+3] / 4 = 24/4=6
Any more questions? I'm only in Geometry... Freshman in hs...
Things that I hate: problems like the above
Not in simplest form. n=(-3/2 - sqrt 3) is incorrect.If I'm not mistaken,
n = 2.366025404
m = 0.633974595
or to be more exact,
n = (6 + 12^0.5)/-4
m = 3 - [(6 + 12^0.5)/-4]
I find it hard to believe that your math teacher couldn't solve that.
m=3 - [-3/2 - sqrt 3/2] is also incorrect.
n=(6+12^0.5)/4 is correct.
m=3-[(6+12^0.5)/4] is also correct.
Don't you just hate those?
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- neo-dragon
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You're right. I threw in an extra negative in the rational form by accident, but my math is still right.
btw, have you learned the quadratic equation?
btw, have you learned the quadratic equation?
"Deep in the human unconscious is a pervasive need for a logical universe that makes sense. But the real universe is always one step beyond logic."
- Frank Herbert's 'Dune'
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I have, I don't see how you could possibly use it in there effectively. Isn't my way more clearcut? I mean, who wants to round during a test when you can "not round" and go exact?You're right. I threw in an extra negative in the rational form by accident, but my math is still right.
btw, have you learned the quadratic equation?
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- neo-dragon
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You find what you did to be simpler? I don't, but do what works for you. And you don't have to round, just simplify and you get the same thing.
I explained step-by-step how to use it effectively.
I explained step-by-step how to use it effectively.
"Deep in the human unconscious is a pervasive need for a logical universe that makes sense. But the real universe is always one step beyond logic."
- Frank Herbert's 'Dune'
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Boo, show work with it.You find what you did to be simpler? I don't, but do what works for you. And you don't have to round, just simplify and you get the same thing.
I explained step-by-step how to use it effectively.
I HATE ROCK AND ROLL!!
TAKE A DIME OUT OF THE JUKEBOX BABY!!
I HATE ROCK AND ROLL!!
lol
EDIT: sqrt for roots, ± for pos/neg,
²
³
and that's really everything you need.
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You do know that neo-dragon is a teacher, right?Boo, show work with it.You find what you did to be simpler? I don't, but do what works for you. And you don't have to round, just simplify and you get the same thing.
I explained step-by-step how to use it effectively.
I HATE ROCK AND ROLL!!
TAKE A DIME OUT OF THE JUKEBOX BABY!!
I HATE ROCK AND ROLL!!
lol
EDIT: sqrt for roots, ± for pos/neg,
²
³
and that's really everything you need.
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I've had 102 nukes on MW2.
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I've had 102 nukes on MW2.
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Uh, no, and yeah, teach me then. I showed work with mineYou do know that neo-dragon is a teacher, right?Boo, show work with it.You find what you did to be simpler? I don't, but do what works for you. And you don't have to round, just simplify and you get the same thing.
I explained step-by-step how to use it effectively.
I HATE ROCK AND ROLL!!
TAKE A DIME OUT OF THE JUKEBOX BABY!!
I HATE ROCK AND ROLL!!
lol
EDIT: sqrt for roots, ± for pos/neg,
²
³
and that's really everything you need.
I'm a noob.
Ender is NOT a jerk.
This siggy is wasting your time...
Ender is NOT a jerk.
This siggy is wasting your time...
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I need to learn calculus operators.
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I've had 102 nukes on MW2.
I have Asperger Syndrome (I was diagnosed at birth). It's categorized as a "disability".
I've had 102 nukes on MW2.
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- rearrange the first equation to isolate one variable.
- substitute into the second equation so that it now has only one variable.
- expand and collect like-terms, and bring everything to one side of the equation so that it is in the form ax^2 + bx + c = 0
- Use the quadratic equation, which will give two possible solutions, only one of which works with the third equation.
Oh come on, and in a test situation I'm supposed to remember this?
hmm m+n=3
m=n+3
m²+n²=(n+3)(n+3)+n²
Loads of work to me... I think it's wrong at this stage...
6=2n²+6n+9
0=2n²+6n+3
Oh come on, guessing during a test? HATE IT...
n=(-6 ± sqrt[36-4(3)(2)])/4
n=(-6 ± sqrt[12])/4
n=-3/2 ± sqrt 3/4
Oh what now, roots in here too?
You don't have to solve for a variable, you know.
3+ 3/2 - sqrt 3/4 = m
-3/2 + sqrt 3/4 = n
now for (9/2 - sqrt 3/4)^3 + (-3/2 +sqrt 3/4)^3
I ain't even gonna do that...
- substitute into the second equation so that it now has only one variable.
- expand and collect like-terms, and bring everything to one side of the equation so that it is in the form ax^2 + bx + c = 0
- Use the quadratic equation, which will give two possible solutions, only one of which works with the third equation.
Oh come on, and in a test situation I'm supposed to remember this?
hmm m+n=3
m=n+3
m²+n²=(n+3)(n+3)+n²
Loads of work to me... I think it's wrong at this stage...
6=2n²+6n+9
0=2n²+6n+3
Oh come on, guessing during a test? HATE IT...
n=(-6 ± sqrt[36-4(3)(2)])/4
n=(-6 ± sqrt[12])/4
n=-3/2 ± sqrt 3/4
Oh what now, roots in here too?
You don't have to solve for a variable, you know.
3+ 3/2 - sqrt 3/4 = m
-3/2 + sqrt 3/4 = n
now for (9/2 - sqrt 3/4)^3 + (-3/2 +sqrt 3/4)^3
I ain't even gonna do that...
I'm a noob.
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This siggy is wasting your time...
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Everyone makes silly mistakes once in a while, right?
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I've had 102 nukes on MW2.
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'algebra' is easy. The trick is, when you get to a problem that usesI hate when people say algebra is easy.
to solve, you always skip it if possible. I remember solving many problems to that point, and then saying "ugh, I don't want to reduce that", and going to the next problem.the quadratic equation
The only time that definitely doesn't work is the homework for the math lesson where you learn the quadratic equation, since all of the questions tend to involve it. Most other times, only one problem in so many use it, so I figured I can just take the hit.
Also, it just seems easier in comparison to some other things you may learn. Like surface integrals! Jacobians! Man, I have no idea how to do that stuff anymore, it's amazing. Or just plain trig. Boo, trig.
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dgf hhw
dgf hhw
Dude I haven't had a math class in... nearly eight years... and that's how I started to solve it before I said, "why? I haven't had a math class in nearly eight years... I wonder if Neo or Alea posted, that will save me time."- rearrange the first equation to isolate one variable.
- substitute into the second equation so that it now has only one variable.
- expand and collect like-terms, and bring everything to one side of the equation so that it is in the form ax^2 + bx + c = 0
- Use the quadratic equation, which will give two possible solutions, only one of which works with the third equation.
Oh come on, and in a test situation I'm supposed to remember this?
So, Lone Star, now you see that evil will always triumph because good is dumb.
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I actually prefer the formula...'algebra' is easy. The trick is, when you get to a problem that usesI hate when people say algebra is easy.
to solve, you always skip it if possible. I remember solving many problems to that point, and then saying "ugh, I don't want to reduce that", and going to the next problem.the quadratic equation
The only time that definitely doesn't work is the homework for the math lesson where you learn the quadratic equation, since all of the questions tend to involve it. Most other times, only one problem in so many use it, so I figured I can just take the hit.
Also, it just seems easier in comparison to some other things you may learn. Like surface integrals! Jacobians! Man, I have no idea how to do that stuff anymore, it's amazing. Or just plain trig. Boo, trig.
"Find the area of a square with diagonals 1 inch longer than its sides."
oh yay, more quadratics...
x sqrt 2 - x = 1
x(sqrt 2 - 1) = 1
x^2(2-1)=1
x^2=1
^WRONG!!
x sqrt 2 ^2 = 2x^2
2x^2=(x+1)(x+1)
2x^2=x^2+2x+1
-x^2+2x+1=0
yuck, I ain't gonna factor that... you can't.
x = [-2 ± sqrt( 4 + 4 )] /-2
x = [-2 ± 2 sqrt 2] /-2
x = 1 ± sqrt 2
A= X^2
(1 + sqrt 2)^2=
1 + 2 sqrt 2 + 2 =
3 sqrt 2 = A
and yeah, would you want the formula, or to factor -x²+2x+1=0?
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-x^2+2x+1=0
x^2-2x-1=0
x^2-2x=1
x^2-2x+1=2
(x-1)^2=2
x-1=-sqrt 2 or x-1=sqrt 2
x=1-sqrt 2 or x=1+sqrt 2
Completing the square is easier than the quadratic formula. I don't like it when I have to show the quadratic formula when it is much easier to complete the square.
x^2-2x-1=0
x^2-2x=1
x^2-2x+1=2
(x-1)^2=2
x-1=-sqrt 2 or x-1=sqrt 2
x=1-sqrt 2 or x=1+sqrt 2
Completing the square is easier than the quadratic formula. I don't like it when I have to show the quadratic formula when it is much easier to complete the square.
TG M203 Bunker, PFC, 1st Corps, CoD Division, PC Brigade, 1st BTN, Chungking (ST) Squad, SM
I've had 102 nukes on MW2.
I have Asperger Syndrome (I was diagnosed at birth). It's categorized as a "disability".
I've had 102 nukes on MW2.
I have Asperger Syndrome (I was diagnosed at birth). It's categorized as a "disability".
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... Why did I forget this?-x^2+2x+1=0
x^2-2x-1=0
x^2-2x=1
x^2-2x+1=2
(x-1)^2=2
x-1=-sqrt 2 or x-1=sqrt 2
x=1-sqrt 2 or x=1+sqrt 2
Completing the square is easier than the quadratic formula. I don't like it when I have to show the quadratic formula when it is much easier to complete the square.
m+n=3
m=-n+3
m^2+n^2=6
m^2=-n^2+6
mn=3/2
m=(3 - sqrt 3)/2 n=(3 + sqrt 3)/2
so, you arose from 3 ± sqrt 3 /2
6 ± sqrt 6/4
or just the simple way
CHEATING!!
27 rooted = 3×3×3
so, 3, 3
3 , sqrt 3
sqrt 3 / sqrt 27 = 3
I'm a noob.
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I still remember the quadratic equation even tho I've been out of high school for 15 years. Then again, I love math. I also love trig...and logarithms. Do they still teach logs?
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