SOLUTION: Hi, I am having a lot of trouble with the following equation. I have tried foiling and then putting in the quadratic formula and then plugging the values back into the original equ

Algebra ->  Radicals -> SOLUTION: Hi, I am having a lot of trouble with the following equation. I have tried foiling and then putting in the quadratic formula and then plugging the values back into the original equ      Log On


   

Question 306418: Hi, I am having a lot of trouble with the following equation. I have tried foiling and then putting in the quadratic formula and then plugging the values back into the original equation but I don't get a solution.
√x+1-√4x-3=1
Please Help!
Found 2 solutions by JBarnum, Fombitz:
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28x%2B1%29-sqrt%284x-3%29=1
sqrt%28x%2B1%29%2B%28-sqrt%284x-3%29%29=1
square everything
cross%28x%2B1%2B4x-3=1%29
cross%285x-2=1%29
cross%285x=3%29
cross%28x=3%2F5%29

lol epic fail on my behalf
use the other tutors explaination i messed up the squaring

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

sqrt%28x%2B1%29-sqrt%284x-3%29=1
%28x%2B1%29-2sqrt%28x%2B1%29sqrt%284x-3%29%2B%284x-3%29=1
x%2B1%2B4x-3-1=2sqrt%28%28x%2B1%29%284x-3%29%29
5x-3=2sqrt%28%28x%2B1%29%284x-3%29%29
%285x-3%29%5E2=4%28x%2B1%29%284x-3%29
25x%5E2-30x%2B9=4%284x%5E2%2Bx-3%29
25x%5E2-30x%2B9=16x%5E2%2B4x-12
9x%5E2-34x%2B21=0
Factor.
%289x-7%29%28x-3%29=0
Two solutions:
9x-7=0
9x=7
x=7%2F9
.
.
.
x-3=0
x=3
.
.
.
I leave it to you to verify that those are indeed solutions to the problem.
Remember that sqrt%28a%5E2%29=0+%2B-+a