SOLUTION: Solve the following; don't forget to check for extraneous roots: SQRT(x^2) = x A.all real numbers B.0 C.{0,1} D.x<=0 E.none of the above F.x>=0 *I answered A

Algebra ->  Rational-functions -> SOLUTION: Solve the following; don't forget to check for extraneous roots: SQRT(x^2) = x A.all real numbers B.0 C.{0,1} D.x<=0 E.none of the above F.x>=0 *I answered A       Log On


   



Question 954423: Solve the following; don't forget to check for extraneous roots:
SQRT(x^2) = x
A.all real numbers
B.0
C.{0,1}
D.x<=0
E.none of the above
F.x>=0
*I answered A the first time but it was wrong. Please explain your answer. Thanks!

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28x%5E2%29 always yields a positive value.
When x becomes negative, the equality no longer holds.
x%3E=0
.
.
.
y=sqrt%28x%5E2%29
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2Csqrt%28x%5E2%29%29
.
.
.
y=x
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2Cx%29