SOLUTION: I need help! For the equation x-SQRT x = 0, perform the following: a) Solve for all values of x that satify the equation. b) Graph the function y=x and y=SQRT x on the same gr

Algebra ->  Square-cubic-other-roots -> SOLUTION: I need help! For the equation x-SQRT x = 0, perform the following: a) Solve for all values of x that satify the equation. b) Graph the function y=x and y=SQRT x on the same gr      Log On


   



Question 32513This question is from textbook COLLEG ALGEBRA
: I need help!
For the equation x-SQRT x = 0, perform the following:
a) Solve for all values of x that satify the equation.
b) Graph the function y=x and y=SQRT x on the same graph (by plotting pints if neccessary). Show the points of intersection of these two graphs.
This question is from textbook COLLEG ALGEBRA

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
a) Factor out sqrt s to get:
(sqrt x)(sqrt x - 1)=0
Then either sqrt x=0, so x=0
OR sqrt(x)=-1=0, so sqrt(x)=1 and x=1
So the solutiontins are x=0 and x=1
b)y=x is a straight line thru points (0,0) and (1,1)
y=sqrt x is a curve thru points (0,0) and (1,1), and (4,2) and etc.
Cheers,
Stan H.