SOLUTION: sqrt(x+1)-sqrt(x-1)=2

Question 213787: sqrt(x+1)-sqrt(x-1)=2
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
= 2
:
Add to both sides
=
:
Square both sides, FOIL the right side
x + 1 = (x-1) + + 4
:
x + 1 = x - 1 + 4 +
:
x + 1 = x + 3 +
:
x - x + 1 - 3 =
:
-2 =
:
Square both sides
4 = 16(x - 1)
:
4 = 16x - 16
:
4 + 16 = 16x
:
20 = 16x
x =
x = 1.25; however substitution in the original equation reveals this is not a solution. There is no solution

RELATED QUESTIONS
sqrt(4x+1)-sqrt(x-1)=2 (answered by josgarithmetic,MathTherapy)

{{{ sqrt x+2 - sqrt x-3 = 1... (answered by robertb)

{{{ sqrt ( 2x-1 )+ sqrt ( 2-x ) =2 }}} (answered by josgarithmetic)

{{{ sqrt ( 2x-1 )+ sqrt ( 2-x )... (answered by Fombitz)

Sqrt(5x+1)=Sqrt(x-2)... (answered by jim_thompson5910)

y = sqrt(x+1)^2 -... (answered by checkley71)

sqrt of x -... (answered by jim_thompson5910)

In [sqrt(x+2)] =... (answered by jim_thompson5910)

sqrt(x^2+2x+1) (answered by Earlsdon)