SOLUTION: To Whom Ever Can Assist...thank you. For the equation x - 2 square root of x = 0, solve for all values of x that satisfies the equation. Graph the functions y = x and y = 2 s

Algebra ->  Radicals -> SOLUTION: To Whom Ever Can Assist...thank you. For the equation x - 2 square root of x = 0, solve for all values of x that satisfies the equation. Graph the functions y = x and y = 2 s      Log On


   

Question 57296: To Whom Ever Can Assist...thank you.
For the equation x - 2 square root of x = 0, solve for all values of x that satisfies the equation.
Graph the functions y = x and y = 2 square root of x on the same graph,by plotting points if necessary. Show the points of intersection of these two graphs.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
For the equation x - 2 square root of x = 0, solve for all values of x that satisfies the equation.
:
x+-+2%2Asqrt%28x%29+=+0+
x+=+%2B2%2Asqrt%28x%29
Square both sides and you have:
x%5E2+=+4%2Ax
x%5E2+-+4x+=+0
Factor:
x(x-4) = 0
:
x = 0
and
x = +4
:
:
Graph the functions y = x and y = 2 square root of x on the same graph,by plotting points if necessary. Show the points of intersection of these two graphs.
:
You should know that when y = x you plot a 45 degree line going through the
origin. ie x=0, y=0; x=1, y=1; x=2, y=2, etc
:
Plot y = 2*SqRt(x)
:
Calculate y for each value of x, I gave the integer value: plot these:
x | y c
-------
0 | 0
1 | 2
4 | 4
9 | 6
:
When you plot these two graphs, Note that the two graphs intersect at two points. When x = 0 and x = 4