SOLUTION: f(x) = -x^2- 4x + 4 find the x intercepts

Question 608392: f(x) = -x^2- 4x + 4
find the x intercepts
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
f(x) = -x^2- 4x + 4
find the x intercepts
.
Set f(x) to zero and solve for x:
f(x) = -x^2- 4x + 4
0 = -x^2- 4x + 4
multiplying both sides by -1:
0 = x^2 + 4x - 4
applying the "quadratic formula" to get:
x = {0.83, -4.83} (these are your x-intercepts)
.
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=32 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

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

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