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

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Question 305258: x^2 + x^2= (x+2)^2
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!



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=32 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 4.82842712474619, -0.82842712474619. Here's your graph:

------------------
= 2 ± 2sqrt(2)
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