SOLUTION: write a word problem involving finding two real numbers that could be solved with the equation x(9-x)=14. I am at a total lose here, I have no idea how to start a word problem wi

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Question 1018839: write a word problem involving finding two real numbers that could be solved with the equation x(9-x)=14.
I am at a total lose here, I have no idea how to start a word problem with this.
Please help

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
write a word problem involving finding two real numbers that could be solved with the equation x(9-x)=14.
I am at a total lose here, I have no idea how to start a word problem with this.
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Notice that x + (9-x) = 9
So you have the product of x and 9-x is 14
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Problem:
The sum of the wts. of my dog and yours is 9.
The product of their wts. is 14.
Find the wt of the two dogs.
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m + y = 9
xy = 14
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Substitute for "y" and solve for "x"::
x(9-x) = 14
9x - x^2 = 14
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x^2 - 9x + 14 = 0
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(x-2)(x-7) = 0
x = 2 or x = 7
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One of the dogs weighs 2 lbs; the other weighs 7 lbs
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Cheers,
Stan H.
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