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

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


   

Question 74787: For the equation x-square root of 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 y=square root of x on the same graph (by plotting points if necessary). Show the points of intersection of these two graphs.
Graph
c) How does the graph relate to part a?
Answer:

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x-sqrt%28x%29=0
x=sqrt%28x%29Add sqrt%28x%29 to both sides
x%5E2=xSquare both sides
x%5E2-x=0Get all terms to one side
x%28x-1%29=0
x=0
x-1=0
x=1
So the solution is
x=0 and x=1


b)
+graph%28+300%2C+200%2C+-2%2C+3%2C+-3%2C+3%2C+x%2C+sqrt%28x%29%29+

c) the intersection of y=x and y=sqrt%28x%29 corresponds to the solutions of x=0 and x=1 from part a) since the graphs intersect at x=0 and x=1. Part a is solving for the equations algebraically and part b solves for the system graphically.