SOLUTION: Solve the equation for x: (7x+1)^2+(15x+2)^2=(17x+1)^2 My answer: (7x)^2+2*7x*1+1^2+(15x)^2+2*15x*2+2^2=(17x)^2+2*17x*1+1^2 49x^2+14x+1+225x^2+60x+4=

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Question 785546: Solve the equation for x: (7x+1)^2+(15x+2)^2=(17x+1)^2
My answer: (7x)^2+2*7x*1+1^2+(15x)^2+2*15x*2+2^2=(17x)^2+2*17x*1+1^2

49x^2+14x+1+225x^2+60x+4=289x^2+34x+1=
274x^2+74x+5=289x^2+34x+1

74x+5=15x^2+34x+1

40x+5=15x^2+1
40x=15x^2-4
x=15x^2-4/40
Austrian Math 8th grade. I can't seem to find the answer. Thank you.
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
7x+1)^2+(15x+2)^2=(17x+1)^2
My answer: (7x)^2+2*7x*1+1^2+(15x)^2+2*15x*2+2^2=(17x)^2+2*17x*1+1^2

49x^2+14x+1+225x^2+60x+4=289x^2+34x+1=
274x^2+74x+5=289x^2+34x+1

74x+5=15x^2+34x+1

40x+5=15x^2+1
40x=15x^2-4
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Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=1840 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 2.76317403930181, -0.0965073726351477. Here's your graph:

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x=15x^2-4/40
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