SOLUTION: For the equation x - 2 square root x = 0 , perform the following: a) Solve for all values of x that satisfies the equation. Answer: Show work b) Graph the functions y = x

Algebra.Com
Question 86210This question is from textbook
: For the equation x - 2 square root x = 0 , perform the following:
a) Solve for all values of x that satisfies the equation.
Answer:
Show work
b) Graph the functions y = x and y = 2 square root X, on the same graph (by plotting points if necessary). Show the points of intersection of these two graphs.
Graph:
Thanks in advance for any help. I can't figure this one out at all.
 This question is from textbook

Answer by dolly(163)   (Show Source): You can put this solution on YOUR website!
a) x-2sqrt(x) = 0
==> sqrt(x) [sqrt(x) - 2] = 0 [taking sqrt(x) common]
==> sqrt(x) = 0 or sqrt(x) - 2 = 0
==> x = 0 or sqrt(x) = 2
==> x = 0 or x = 4 (on squaring)
So the solution is x = 0 or x = 4


b) The following graph shows the equations drawn on the same axes.

The red line shows y = x and the green curve shows y = 2 sqrt(x)
From the graph also we infer that the equations intersect at x = 0 and x = 4.
Thus the points of intersection are (0,0) and (4,4)
RELATED QUESTIONS

I am having a problem solving this problem: For the equation x - the square root of x =... (answered by funmath)
x - 2 square root of x = 0 Solve for all values of x that satisfies the... (answered by stanbon)
For the equation , perform the following: a) Solve for all values of x that satisfies... (answered by atif.muhammad)
x - square root of x = 0, solve for all values of x that satisfies the equation show... (answered by stanbon)
x-√x-0, perform the following: sovle for all values of x that satisfies the... (answered by funmath)
For the equation x-square root x = 0, perform the following: a) Solve for all values... (answered by 303795)
For the equation x-2 sqrt x= 0 , perform the following: Solve for all values of x that... (answered by ankor@dixie-net.com)
For the equation x-2 times the square root of x = 0 Solve for all values of x that... (answered by funmath)
                      _ 
For the equation x -  (answered by AnlytcPhil)