SOLUTION: Solve algebraically and check your potential solutions: √x+2-x=0

Algebra.Com
Question 196588: Solve algebraically and check your potential solutions: √x+2-x=0
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given equation.


Add "x" to both sides.


Square both sides.


Get all terms to one side.


Notice we have a quadratic in the form of where , , and


Let's use the quadratic formula to solve for x


Start with the quadratic formula


Plug in , , and


Negate to get .


Square to get .


Multiply to get


Rewrite as


Add to to get


Multiply and to get .


Take the square root of to get .


or Break up the expression.


or Combine like terms.


or Simplify.


So the answers are or

However, if we plug in , we'll find that a contradiction will result.


So the only solution is
RELATED QUESTIONS

Solve algebraically and check your potential solutions:... (answered by stanbon)
Solve algebraically and check your potential solutions: sqrt(x+2)-x =0 (answered by stanbon)
Solve algebraically and check your potential solutions:... (answered by solver91311)
solve algebraically and show your potential solutions √(x+2) -x=0 b.∛x -5=3... (answered by ankor@dixie-net.com)
Solve algebraically and check your potential solutions: sqrt(x+20)-x=0 (answered by mathslover,edjones)
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 the following algebraically. Trial and error is not an appropriate method of... (answered by stanbon)