SOLUTION: Find all real solutions to the equation {{{sqrt(x+4)-2sqrt(x-1)=-1)}}}

Question 41521: Find all real solutions to the equation

Answer by Nate(3500) (Show Source): You can put this solution on YOUR website!

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=1024 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 5, 1.44444444444444. Here's your graph:

and
Check:

Five Works
Check:

(13/9) Does Not Work
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