SOLUTION: sqrt2x+4=Sqrt(x+3)+1

Algebra.Com
Question 62209: sqrt2x+4=Sqrt(x+3)+1
Answer by joyofmath(189)   (Show Source): You can put this solution on YOUR website!

Square both sides: .
Subtract x+4 from both sides: .
Square both sides: .
Turn the equation into a quadratic: .
This factors: .
So, x=6 and x=-2 are possible solutions.
Let's check the possible solutions:
When x=6, and .
When x=-2, and so x= -2 is not an answer.
So, the only answer is x=6.

RELATED QUESTIONS

solve x- sqrt2x+1... (answered by Earlsdon)
if x= 2+sqrt3 then find the value of sqrt2x +... (answered by greenestamps)
Can you help me with this problem. Find the solution sets for (sqrt2x+1) - (sqrt x) (answered by stanbon)
for the function f (x)=sqrt2x-1, g(x)=1/x-3 find f/g and give the... (answered by MathLover1)
Algebraically determine the exact roots of each equation. a) sqrt7x-2/sqrt2x =... (answered by stanbon)
Find the simplified difference quotient of... (answered by MathLover1)
Find the solution Set:... (answered by edjones)
Sqrt2x-1=sqrtx-1... (answered by edjones,swincher4391)
2x=sqrt2x+3 over... (answered by Fombitz)