SOLUTION: Which of the following are solutions to the quadratic equation? Check all that apply x(exponent)2 + 12x + 36 = 7 -6 √7-6 √7 -6 -√7-6 √7+6

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Question 144747: Which of the following are solutions to the quadratic equation? Check all that apply
x(exponent)2 + 12x + 36 = 7
-6
√7-6
√7
-6
-√7-6
√7+6
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!

Make it equal to zero, always.
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=28 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: -3.35424868893541, -8.64575131106459. Here's your graph:

It's -6+, and
It's -6-
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