SOLUTION: Can someone please provide me with a breakdown of how to solve this problem? Thanks! x^2-5=12x

Question 735861: Can someone please provide me with a breakdown of how to solve this problem? Thanks!
x^2-5=12x
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
subtract 12x
x^2-12x-5=0

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=164 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 12.4031242374328, -0.403124237432849. Here's your graph:

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