SOLUTION: Can you help me with this problem? For the equation x – radical sign and the radicand under it of x = 0, perform the following: Solve for all values of x that satisfies the e

Algebra ->  Equations -> SOLUTION: Can you help me with this problem? For the equation x – radical sign and the radicand under it of x = 0, perform the following: Solve for all values of x that satisfies the e      Log On


   

Question 83303: Can you help me with this problem?
For the equation x – radical sign and the radicand under it of x = 0, perform the following:
Solve for all values of x that satisfies the equation.
Graph the functions y = x and y = radical sign and the radicand under it of x on the same graph (by plotting points if necessary). Show the points of intersection of these two graphs.
Graph
How does the graph relate to part a?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
For the equation x – radical sign and the radicand under it of x = 0, perform the following:
Solve for all values of x that satisfies the equation.
EQUATION:
x-sqrt(x) = 0
x=sqrt(x)
Square both sides to get:
x^2=x
x^2-x=0
x(x-1)=0
x=0 or x=1
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Graph the functions y = x and y = radical sign and the radicand under it of x on the same graph (by plotting points if necessary). Show the points of intersection of these two graphs.
Graph
graph%28400%2C300%2C-5%2C3%2C-5%2C3%2Cx%2Csqrt%28x%29%29
Points of intersectin: (0,0), (1,1)
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How does the graph relate to part a?
It confirms the results of part a.
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Cheers,
Stan H.