SOLUTION: Please help me with the following equation and graph. For the equation x-√x=0 , perform the following: a) Solve for all values of x that satisfies the equation. b) Graph

Algebra ->  Rational-functions -> SOLUTION: Please help me with the following equation and graph. For the equation x-√x=0 , perform the following: a) Solve for all values of x that satisfies the equation. b) Graph      Log On


   

Question 82535: Please help me with the following equation and graph.
For the equation x-√x=0 , perform the following:
a) Solve for all values of x that satisfies the equation.
b) Graph the functions y=x and y=√x on the same graph (by plotting points if necessary). Show the points of intersection of these two graphs.
c) How does the graph relate to part a?
thanks so much for your help...
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
a) Solve for all values of x that satisfies the equation.
x+-+sqrt%28x%29+=+0
.
%28x+-+sqrt%28x%29%29%28x+%2B+sqrt%28x%29%29+=+%280%29%28x+%2B+sqrt%28x%29%29
.
x%5E2+-+x++=+0
.
x%28x+-+1%29+=+0
.
x+=+0 and x+=+1
b) Graph the functions y=x and y=√x on the same graph (by plotting points if necessary). Show the points of intersection of these two graphs.
(0,0) and (1,1)
graph%28300%2C300%2C-2%2C2%2C-2%2C2%2Cx%2Csqrt%28x%29%29
c) How does the graph relate to part a?
x+-+sqrt%28x%29+=+0
.
x+=+sqrt%28x%29
When y = x and y = sqrt%28x%29 intersect, the value or values for x is or are the solution(s).