Which type of geometry best describes the following statement?
1 answer:
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ANSWER
D) 10
EXPLANATION
We want to solve the radical equation,
Square both sides,
Expand brackets on right hand side,
Rewrite in general quadratic equation form,
Factor to obtain,
Apply the zero product principle to get,
We put n=2 into the equation to get,
This statement is false, hence 2 is an extraneous solution
We put n=10, to get
This is true, hence the only solution is
D) 10
EXPLANATION
We want to solve the radical equation,
Square both sides,
Expand brackets on right hand side,
Rewrite in general quadratic equation form,
Factor to obtain,
Apply the zero product principle to get,
We put n=2 into the equation to get,
This statement is false, hence 2 is an extraneous solution
We put n=10, to get
This is true, hence the only solution is
The feasible region is shown in the picture above. The horizontal axis is the X axis.
If you now draw a family of lines parallel to through the region, increasing $C$, that is, the X-intercept, we will have the maximum value of $C$ when the line passes through the endpoint $(-2,6)$ .
Hence, $C=5(-2)+4(6)=14$
