SOLUTION: Find two consecutive numbers whose cubes produce a sum of 855

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Question 784727: Find two consecutive numbers whose cubes produce a sum of 855
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Find two consecutive numbers whose cubes produce a sum of 855
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1st: x
2nd: x+1
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Equation:
x^3 + (x+1)^3 = 855
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x^3 + x^3 + 3x^2 + 3x + 1 = 855
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2x^3 + 3x^2 + 3x + 1 = 855
x= 7
x+1 = 8
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Cheers,
Stan H.
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