SOLUTION: for the equation x-sqrtx=0 perform the following. Solve for all values of x that satisfies the equation. Then, once graphed how does the graph relate to the question asked?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: for the equation x-sqrtx=0 perform the following. Solve for all values of x that satisfies the equation. Then, once graphed how does the graph relate to the question asked?      Log On


   

Question 73038: for the equation x-sqrtx=0 perform the following. Solve for all values of x that satisfies the equation. Then, once graphed how does the graph relate to the question asked?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x-sqrt%28x%29=0Add sqrt%28x%29 to both sides
x%5E2=%28sqrt%28x%29%29%5E2}Square both sides
x%5E2=xSubtract from sides
x%5E2-x=0
x%28x-1%29=0Factor out an x
x=0One solution
x-1=0
x=1
The graph of x-sqrt%28x%29=0 represents the x intercepts. In a sense, y=0 which allows you to find the x-intercepts.
graph%28+300%2C+200%2C+-5%2C+5%2C+-2%2C+2%2C+x-sqrt%28x%29%29Notice the x-intercepts at x=0 and x=1 (it may be hard to see the x=0 solution)
Hope this helps.