SOLUTION: A rectangular backyard has an area of 2x^2-13x-24 m^2. Factor to find possible expressions to represent the length and the width.

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Question 828393: A rectangular backyard has an area of 2x^2-13x-24 m^2. Factor to find possible expressions to represent the length and the width.

Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
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given:
y = 2x^2 - 13x - 24
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factoring the quadratic:
y = (2x + 3)(x - 8)
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roots:
x = 8
x = -(3/2)
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the negative root doesn't fit the problem, so use the positive root:
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the x dimension of the rectangle = 8 m
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however:
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y = 2*8*8 - 13*8 - 24 = 0
as expected for a quadratic root
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the problem statement appears to contain an error.
please check your question and re-post.