SOLUTION: Start with a whole number and add together these four values: the number added to itself, subtracted from itself, multiplied by itself, and divided by itself. The total of these fo

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Question 1012765: Start with a whole number and add together these four values: the number added to itself, subtracted from itself, multiplied by itself, and divided by itself. The total of these four numbers is 225. What was the original number?




Found 2 solutions by ikleyn, stanbon:
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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Start with a whole number and add together these four values: the number added to itself, subtracted from itself, multiplied by itself, and divided by itself. The total of these four numbers is 225. What was the original number?
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2x+%2B+x%5E2+%2B+1 = 225

x%5E2+%2B+2x+-+224 = 0.

x = 14 or x = -16.

Since it is whole number, x = 14 is the only solution.


Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Start with a whole number and add together these four values: the number added to itself, subtracted from itself, multiplied by itself, and divided by itself. The total of these four numbers is 225. What was the original number?
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Let the number be "x"::
x +x -x +x^2 + x/x = 225
x + x^2 + 1 = 225
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x^2 + x - 224 = 0
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x = 14.47
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Cheers,
Stan H.
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