SOLUTION: Please help me solve and find the solution set x-1 = radical 6x + 10

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Please help me solve and find the solution set x-1 = radical 6x + 10      Log On


   

Question 541280: Please help me solve and find the solution set
x-1 = radical 6x + 10
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x-1 = sqrt(6x + 10)

(x-1)^2 = (sqrt(6x + 10))^2

x^2-2x+1 = 6x+10

x^2-2x+1 - 6x-10 = 0

x^2-8x-9 = 0

(x-9)(x+1) = 0

x-9=0 or x+1=0

x=9 or x=-1

So the possible solutions are x=9 or x=-1

However, checking the possible solutions only gives us the true solution to be x = 9 (I'll let you do the check)

So the only solution is x = 9


If you need more help, email me at jim_thompson5910@hotmail.com

Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you

Jim