SOLUTION: For the equation x-2 times the square root of x = 0 Solve for all values of x that satisfies the equation. Please break it down for me step by step. I am having such a hard ti

Algebra ->  Radicals -> SOLUTION: For the equation x-2 times the square root of x = 0 Solve for all values of x that satisfies the equation. Please break it down for me step by step. I am having such a hard ti      Log On


   



Question 57204: For the equation x-2 times the square root of x = 0
Solve for all values of x that satisfies the equation.
Please break it down for me step by step. I am having such a hard time with this.

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
%28x-2%29%2Asqrt%28x%29=0
By the zero product property x-2=0 and sqrt%28x%29=0
x-2%2B2=0%2B2 and %28sqrt%28x%29%29%5E2=%280%29%5E2
highlight%28x=2%29 and highlight%28x=0%29
Check for extraneous solutions (false solutions):
for 2:
%282-2%29%2Asqrt%282%29=0
0%2Asqrt%282%29=0
0=0 2 checks out.
for 0:
%280-2%29%2Asqrt%280%29=0
-2%2A0=0
0=0 0 checks out also.
Happy Calculating!!!