SOLUTION: sqrt(x+3)+1=sqrt(3x-2) Solve for x

Question 367531: sqrt(x+3)+1=sqrt(3x-2) Solve for x
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
sqrt(x+3)+1=sqrt(3x-2) Solve for x
...
square both sides
..
(sqrt(x+3)+1)^2=(sqrt(3x-2))^2
(x+3)+2sqrt(x+3)+1 = 3x-2
x+3 -3x+2+1= -2sqrt(x+3)
-2x+6=-2sqrt(x+3)
-2(x-3)=-2(sqrt(x+3)
divide by -2
(x-3)^2= sqrt(x+3)
square
x^2-6x+9 = x+3
x^2-6x-x+9-3=0
x^2-7x+6=0
x^2-6x-x+6=0
x(x-6)-1(x-6)=0
(x-6)(x-1)=0
x 6 Or 1
...
m.ananth@hotmail.ca

RELATED QUESTIONS
Solve for x: sqrt(2x-1) - sqrt(x+3) =... (answered by funmath)

Solve for x: 1. sqrt. 6x-8 =x 2. 2 Sqrt(x+2) -3=7... (answered by solver91311)

Multiply: sqrt (x)^1/3 (sqrt (3x^2)^1/3 - sqrt... (answered by Theo)

sqrt(2x+3) - sqrt(x+1) = 1, solve for x ( could be 2... (answered by joyofmath)

Solve for x; {{{sqrt(3x)+sqrt(2x-1)= 5/(sqrt(2x-1))}}} (answered by cigany29)

1.) The solution to sqrt 2x+3 - sqrt x-1=1 is x=3? true or false 2.) The solution to... (answered by ikleyn)

1.) Solve: sqrt x-3 = sqrt 2 - sqrt x for x 2.) Solve: sqrt 2y-6 = 3-y for y 3.)... (answered by ikleyn)

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

3 + sqrt 3x + 1 =... (answered by checkley77)