SOLUTION: For the equation x-2 sqrt x= 0 , perform the following: Solve for all values of x that satisfies the equation. Also, can you please graph the functions y=x and y = 2 sqrt x

Algebra ->  Radicals -> SOLUTION: For the equation x-2 sqrt x= 0 , perform the following: Solve for all values of x that satisfies the equation. Also, can you please graph the functions y=x and y = 2 sqrt x       Log On


   

Question 85891: For the equation x-2 sqrt x= 0 , perform the following:
Solve for all values of x that satisfies the equation.

Also, can you please graph the functions y=x and y = 2 sqrt x
Thanks!
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
For the equation x-2 sqrt x= 0 , perform the following:
Solve for all values of x that satisfies the equation.
:
x - 2sqrt%28x%29 = 0
:
x = 2sqrt%28x%29; added 2sqrt%28x%29 to both sides
:
x%5E2 = 4(x); squared both sides to get rid of the radical
:
x^2 - 4x = 0; subtracted 4x from both sides
:
x(x - 4) = Factored out x
:
x = 0
and
x = +4
:
graph the functions y=x and y = 2 sqrt x
:
a table of x = 2*sqrt(x); (x must be positive)
x | y
-----
0 | 0
1 | 2
2 | 2.828
4 | 4
9 | 6
:
+graph%28+300%2C+200%2C+-4%2C+10%2C+-4%2C+10%2C+x%2C+2%2Asqrt%28x%29%29+
y = x: purple. y = 2*sqrt(x): green