SOLUTION: How do i determine whether the given quadratic function has a maximum value or a minimum value and then find that value? x^2+2x-6

Question 247662: How do i determine whether the given quadratic function has a maximum value or a minimum value and then find that value?
x^2+2x-6
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!

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=28 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 1.64575131106459, -3.64575131106459. Here's your graph:

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