SOLUTION: how can i get the value/s of x in the equation: (square root of x)

SOLUTION: how can i get the value/s of x in the equation: (square root of x) - 3 = x-15?

Question 220643: how can i get the value/s of x in the equation: (square root of x) - 3 = x-15?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!

Square both sides:

Can't factor so use the "quadratic equation". Doing so yields:
x = {42.60, -7.60}
.
Details of the quadratic equation follows:

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=2521 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 42.6047804212664, -7.60478042126638. Here's your graph:

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