SOLUTION: I don't understand the steps of solving this kind of problem.Never did these kinds before. 1 plus the sqrt of 2x+1 = 3x-8 I hope that you are able to understand what I wrote he

Question 337711: I don't understand the steps of solving this kind of problem.Never did these kinds before.
1 plus the sqrt of 2x+1 = 3x-8
I hope that you are able to understand what I wrote here.
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
1 plus the sqrt of 2x+1 = 3x-8

Subtracting 1 from both sides:

Square both sides:

Applying quadratic formula we get:
x = {4, 2.22}
Plug both back in to check for "extraneous" solutions. Doing so, we eliminate the 2.22 leaving us with:
x = 4
.
Details of quadratic formula:

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=256 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 4, 2.22222222222222. Here's your graph:

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