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

Algebra ->  Graphs -> SOLUTION: For the equation x-2sqrx=0 , perform the following: a) Solve for all values of x that satisfies the equation. Answer: Show work in this space. b) Graph the funct      Log On


   



Question 56676: For the equation x-2sqrx=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=2sqrx on the same graph (by plotting points if necessary). Show the points of intersection of these two graphs.
Graph:

Points of intersection:

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
For the equation x-2%2Asqrt%28x%29=0 , perform the following:
a) Solve for all values of x that satisfies the equation.
Answer: x={0,4}
Show work in this space.
x-2%2Asqrt%28x%29=0
x-2%2Asqrt%28x%29%2B2%2Asqrt%28x%29=0%2B2%2Asqrt%28x%29
x=2%2Asqrt%28x%29
x%5E2=%282%2Asqrt%28x%29%29%5E2
x%5E2=4x
x%5E2-4x=4x-4x
x%5E2-4x=0
x%28x-4%29=0
x=0 and x-4=0-->x=4
Check for extraneous solutions:
%280%29-2%2Asqrt%280%29=0
0-0=0
0=0 x=0 checks.
%284%29-2%2Asqrt%284%29=0
4-2%282%29=0
4-4=0
0=0 x=4 checks also.

b) Graph the functions y = x and y=2sqrt%28x%29 on the same graph (by plotting points if necessary). Show the points of intersection of these two graphs.
Graph:

Points of intersection: (0,0) and (4,4)
For y=x
Let x=0, solve for y
y=0, plot (0,0)
Let x=4, solve for y
y=4, plot (4,4)
Connect the dots and you have a line.
For y=2%2Asqrt%28x%29
Let x=0
y=2%2Asqrt%280%29
y=2%280%29
y=0, Plot (0,0)
Let x=1
y=2%2Asqrt%281%29
y=2%281%29
y=2, plot (1,2)
Let x=4
y=2%2Asqrt%284%29
y=2%2A2
y=4, plot (4,4)
Connect the dots and you have a curve.
Their points of intersections are (0,0) and (4,4)
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Cx%2C2%2Asqrt%28x%29%29
Happy Calculating!!!!