SOLUTION: Solve algebraically and check your potential solutions: sqrt(x+2)-x =0

Question 308739: Solve algebraically and check your potential solutions: sqrt(x+2)-x =0

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Solve algebraically and check your potential solutions:
sqrt(x+2)-x =0
----
sqrt(x+2) = x
---
x+2 = x^2
---
x^2-x-2 = 0
---
Factor:
(x-2)(x+1) = 0
x = 2 or x = -1
------------------
Checking:
Can x = 2?
sqrt(2+2)-2 = 0
2-2 = 0
Good
--------------------
Can x = -1?
sqrt(-1+2)-(-1) = 0
sqrt(1)+1 = 0
2 = 0
Not Good
====================
Cheers,
Stan H.
====================

RELATED QUESTIONS
Solve algebraically and check your potential solutions: sqrt(x+20)-x=0 (answered by mathslover,edjones)

Solve algebraically and check your potential solutions:... (answered by jim_thompson5910)

Solve algebraically and check your potential solutions:... (answered by stanbon)

Solve algebraically and check your potential solutions:... (answered by solver91311)

Solve algebraically and check your potential solutions show work squareroot... (answered by ankor@dixie-net.com)

Solve algebraically and check your potential solutions: squareroot of... (answered by Earlsdon)

CAN SOME ONE HELP ME WITH THIS PROBLEM. SOLVE ALGEBRAICALLY AND CHECK YOUR POTENTIAL... (answered by stanbon)

solve algebraically and show your potential solutions √(x+2) -x=0 b.∛x -5=3... (answered by ankor@dixie-net.com)

Solve Alegebraically and check your potential solutions square root x... (answered by Alan3354)