SOLUTION: List all values of x satisfying the given condition. y1=(x+3), y2=(x-2), and y1y2=2

Question 702320: List all values of x satisfying the given condition.
y1=(x+3), y2=(x-2), and y1y2=2
Answer by tommyt3rd(5050) (Show Source): You can put this solution on YOUR website!
y1y2=2
(x+3)(x-2)=2
x^2+x-8=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=33 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 2.37228132326901, -3.37228132326901. Here's your graph:

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