SOLUTION: {{{sqrt(2x-1)-sqrt(x-5)=3}}} I need help showing the work for solving for X. I know that X=5, X=41. Thank you!

Question 215271:
I need help showing the work for solving for X. I know that X=5, X=41.
Thank you!
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!

Step 1. Square both sides

Step 2. Square both sides of equation

Step 3. Use quadratic formula given as

where a=1, b=-46 and c=205

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=1296 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 41, 5. Here's your graph:

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J

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