Iris has never had a pet before, but today she took in a stray cat named Luna. For Iris, kitty litter is most likely what type o
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We need to find the maximum (Vertex of the function)
Let:
L = Length = 1500 - 2x
W = Width = x
The area is given by:
We can find the maximum using the following formula:
Evaluate the area for the value we found previously:
The largest area that can be enclosed is 281250m²
ANSWER
x=11
EXPLANATION
We want to solve the equation:
Add -8 to both sides:
Square both sides of the equation to get:
Rewrite in the form ax² +bx+c=0
Factor to get,
This implies that,
Checking for extraneous solutions.
When x=6, the original equation becomes,
2+8= 6 is not true.
x=6 is an extraneous solution.
When x=11, the original equation becomes,
This is true, hence x=11 is the only solution.