SOLUTION: sqrt(2x+3) - sqrt(x+1) = 1, solve for x ( could be 2 solutions)

Algebra.Com
Question 62139: sqrt(2x+3) - sqrt(x+1) = 1, solve for x ( could be 2 solutions)
Answer by joyofmath(189)   (Show Source): You can put this solution on YOUR website!
sqrt(2x+3) - sqrt(x+1) = 1, solve for x ( could be 2 solutions)
.
.
Square both sides:
.
Combine like terms:
.
Square both sides again:
.
Turn this into the form of a quadratic equation:
.
This equation factors: .
So, or .
Let's verify these answers:
When x = -1 then .
When x = 3 then .

RELATED QUESTIONS

Solve for x: sqrt(2x-1) - sqrt(x+3) =... (answered by funmath)
sqrt(x+3)+1=sqrt(3x-2) Solve for... (answered by mananth)
1.) The solution to sqrt 2x+3 - sqrt x-1=1 is x=3? true or false 2.) The solution to... (answered by ikleyn)
Solve {{{sqrt(2x+1)-sqrt(x)=1}}} (answered by jim_thompson5910)
SQRT(3X+1) - SQRT (X-1)= 2, SOLVE COULD BE 2... (answered by joyofmath)
Solve. {{{sqrt(x-1)+sqrt(x-4)=sqrt(2x-1)}}} (answered by jim_thompson5910)
Solve the equation sqrt (2x + 3) - sqrt (x + 1) =... (answered by 303795)
Solve the equation and check for extraneous solutions.... (answered by stanbon)
sqrt(2x-1) - sqrt(x+3) =... (answered by praseenakos@yahoo.com)