SOLUTION: Please help solve other equation: sqrt(8x+1)= x+2.

Question 370843: Please help solve other equation: sqrt(8x+1)= x+2.
Answer by 949homeworkhelp(1) (Show Source): You can put this solution on YOUR website!
sqrt(8x+1)= x+2

eliminate the sq. root by squaring the other side

bring everything to one side.
use 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=52 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 0.394448724536011, 7.60555127546399. Here's your graph:

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