SOLUTION: 5) For the equation x-2√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 ->  Radicals -> SOLUTION: 5) For the equation x-2√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 66894: 5) For the equation x-2√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√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 venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
5) For the equation x-2√x=0 , perform the following:
a) Solve for all values of x that satisfies the equation.
Answer:
Show work in this space.
X-2SQRT(X)=0
=SQRT(X)[SQRT(X)-2]=0
SQRT(X)=0.............X=
SQRT(X)-2=0.....SQRT(X)=2......X=4
HENCE X=0 AND 4 ARE THE 2 SOLUTIONS

b) Graph the functions y = x and y=2√x on the same graph (by plotting points if necessary). Show the points of intersection of these two graphs.
X...............0........1.........4............9....ETC........
Y=X.............0........1.........4............9...ETC.....
Y=2SQRT(X)......0........2.........4............6...ETC...
+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+x%2C+2%2A%28x%5E0.5%29%29+
WE FIND THAT THE 2 GRAPHS INTERSECT AT X=0 AND 4 ..THE 2 SOLUTIONS