SOLUTION: Solve. -9(x-3)^2=-7

Question 92226: Solve.
-9(x-3)^2=-7
Answer by rossiv53(27) (Show Source): You can put this solution on YOUR website!

First, work with the exponent

Distribute the 9

Subtract 7 from both sides

Now you can use quadratic formula to finish solving

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=252 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 2.1180828963118, 3.8819171036882. Here's your graph:

Good luck!
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