SOLUTION: 3) For the equation x - 2 sqrt x = 0, perform the following: a) Solve for all values of x that satisfies the equation. Answer: Show work in this space. b) Graph th

Question 36576: 3) For the equation x - 2 sqrt 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 = 2 sqrt x on the same graph (by plotting points if necessary). Show the points of intersection of these two graphs.
Graph:

Points of intersection:

Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
The basic strategy in solving a radical equation is to isolate the radical. .

You can do this by adding to each side:

Now, square both sides:

This is a quadratic equation, so set it equal to zero by subtracting 4x from each side:

x=0 or x = 4

Check for extraneous solutions. Make sure these answers check!!
x=0

It checks!

x= 4

It checks!

Now graph and , and find the points of intersection:

Notice how the graphs cross at x = 0 and at x = 4.

R^2 at SCC

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