SOLUTION: Can you please show me the steps of how to solve this equation using the Square Root Property m^2 = 8m + 3

Question 170113: Can you please show me the steps of how to solve this equation using the Square Root Property
m^2 = 8m + 3
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
m^2 = 8m + 3
m^2 - 8m - 3 = 0
That can't be factored, so use the quadratic formula.

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=76 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 8.35889894354067, -0.358898943540674. Here's your graph:

The solver defaults to x. Replace that with m.
m = (+8 +- sqrt(64 + 12))/2
m = 4 + sqrt(19)
m = 4 - sqrt(19)
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