Show on graph that -2 root 5
Answers
Answer:
Answer:
x=0 or x=1
:
Show work in this space
x-sqrt%28x%29=0
x-sqrt%28x%29%2Bsqrt%28x%29=0%2Bsqrt%28x%29
x=sqrt%28x%29
%28x%29%5E2=%28sqrt%28x%29%29%5E2
x%5E2=x
x%5E2-x=x-x
x%5E2-x=0
x%28x-1%29=0
x=0 or x-1=0
x=0 or x-1+1=0+1
x=0 or x=1
Check for extraneous solutions:
for x=0
%280%29-sqrt%280%29=0
0-0=0 True, x=0 is valid
for x=1
%281%29-sqrt%281%29=0
1-1=0 True, x=1 is valid.
:
b) Graph the functions y=x, and y=sqrt x on the same graph (by plotting points if necessary). Show the points of intersection of these two graphs.
Graph
graph%28300%2C200%2C-3%2C5%2C-3%2C5%2Cx%2Csqrt%28x%29%29
They intersect at (0,0) and (1,1)
:
c) How does the graph relate to part a?
Answer:
The x values of their points of intersection are the solutions to the equation in question.
:
Answer:
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