x^2 + x^3 = n^2 - Math Central

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Question from Rapin, a student:

Dear Sir,

x and n are the whole number and less than 100 , x^2 + x^3 = n^2,
please help to solve this equation.

rdgs
rapin

Rapin,

If x² + x³ = n² then x²(1 + x) = n². What does that tell you about 1 + x?

Penny

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