SOLUTION: Solve by using quadratic formula: (r-4)(r+12)=16

Question 594223: Solve by using quadratic formula:
(r-4)(r+12)=16
Found 2 solutions by rfer, Alan3354:
Answer by rfer(16322) (Show Source): You can put this solution on YOUR website!
r^2+12r-4r-48=16
y=-r^2-8r+64
(5,0)
(-13,0)
y int (0,64)
opens down
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Solve by using quadratic formula:
(r-4)(r+12)=16
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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=320 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 4.94427190999916, -12.9442719099992. Here's your graph:

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