SOLUTION: For the equation x-2sqrt.x=0 , perform the following: a) Solve for all values of x that satisfies the equation. Answer: Show work in this space. b) Graph the fun

Algebra ->  Functions -> SOLUTION: For the equation x-2sqrt.x=0 , perform the following: a) Solve for all values of x that satisfies the equation. Answer: Show work in this space. b) Graph the fun      Log On


   

Question 47565: For the equation x-2sqrt.x=0 , perform the following:
a) Solve for all values of x that satisfies the equation.
Answer:
Show work in this space.




b) Graph the functions y = x and x-2sqrt.x=0 on the same graph (by plotting points if necessary). Show the points of intersection of these two graphs.
Graph:

Points of intersection:
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
For the equation x-2sqrt.x=0 , perform the following:
a) Solve for all values of x that satisfies the equation.
Answer:
Show work in this space.
x-2sqrt(x)=0
sqrt(x){sqrt(x)-2}=0
sqrt(x)=0.....or....sqrt(x)=2
hence x=0 or .....x=4
b) Graph the functions y = x and x-2sqrt.x=0...I DONT THINK THIS IS CORRECT.IT IS PROBABLY Y-2SQRT(X)=0... on the same graph (by plotting points if necessary). Show the points of intersection of these two graphs.
Graph:
x...................0..............1............4...............9..........etc...
y=x.................0..............1............4...............9..........etc
y=2sqrt(x)..........0..............2............4...............6..........etc
+graph%28+600%2C+600%2C+-5%2C+10%2C+-5%2C+10%2C+x%2C+%2B2%2Ax%5E0.5%2C-2%2Ax%5E0.5%29+


Points of intersection: x=0,x=4............y=0...........y=4