SOLUTION: x^2+(x+1)^2=100

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Question 614981: x^2+(x+1)^2=100
Answer by nerdybill(7384)   (Show Source): You can put this solution on YOUR website!
x^2+(x+1)^2=100
x^2+(x+1)(x+1)=100
x^2+x^2+2x+1=100
2x^2+2x+1=100
2x^2+2x-99=0
apply the "quadratic formula" to get:
x = {6.55, -7.55}
.
details of quadratic formula follows:
.
Solved by pluggable solver: SOLVE quadratic equation with variable
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=796 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 6.55336798983294, -7.55336798983294. Here's your graph:
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