SOLUTION: For the equation x - 2 square root x = 0 , perform the following: a) Solve for all values of x that satisfies the equation. Answer: Show work b) Graph the functions y = x

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: For the equation x - 2 square root x = 0 , perform the following: a) Solve for all values of x that satisfies the equation. Answer: Show work b) Graph the functions y = x       Log On


   

Question 86210This question is from textbook
: For the equation x - 2 square root x = 0 , perform the following:
a) Solve for all values of x that satisfies the equation.
Answer:
Show work
b) Graph the functions y = x and y = 2 square root X, on the same graph (by plotting points if necessary). Show the points of intersection of these two graphs.
Graph:
Thanks in advance for any help. I can't figure this one out at all.
 This question is from textbook

Answer by dolly(163) About Me  (Show Source):
You can put this solution on YOUR website!
a) x-2sqrt(x) = 0
==> sqrt(x) [sqrt(x) - 2] = 0 [taking sqrt(x) common]
==> sqrt(x) = 0 or sqrt(x) - 2 = 0
==> x = 0 or sqrt(x) = 2
==> x = 0 or x = 4 (on squaring)
So the solution is x = 0 or x = 4


b) The following graph shows the equations drawn on the same axes.
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+x%2C+2sqrt%28x%29%29+
The red line shows y = x and the green curve shows y = 2 sqrt(x)
From the graph also we infer that the equations intersect at x = 0 and x = 4.
Thus the points of intersection are (0,0) and (4,4)