SOLUTION: what are the two solutions of the equation ((( 2x^2+2x=4-x )))

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Question 445598: what are the two solutions of the equation ((( 2x^2+2x=4-x )))
Answer by jorel1380(3719)   (Show Source): You can put this solution on YOUR website!
2x2+2x=4-x
2x2+3x-4=0
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=41 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 0.850781059358212, -2.35078105935821. Here's your graph:

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