SOLUTION: Please solve this equation: sqrt(2x + 3) = x

Question 246172: Please solve this equation: sqrt(2x + 3) = x
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
sqrt(2x + 3) = x
square both sides
2x+3=x^2
x^2-2x-3=0

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=16 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 3, -1. Here's your graph:

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