SOLUTION: sqrt(2x+5)=x-5

Question 212144: sqrt(2x+5)=x-5
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
Solve for x in the following equation

Step 1. Square Both Sides of Equation

Step 2. Simplify to get a quadratic equation. Subtract 2x+5 from both sides of equation

Step 3. Now use the quadratic equation

where a=1, b=-8 and c=20 and follow steps below:

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:

Step 4. x=3 and x=-1 are solutions to the equation.

For Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra.
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