The difference between two positive integers is 44. if the smaller is added to the square of the larger, the sum is 376376. find the integers.

Question

Mathematics

Cristina Parker

3 November, 17:32

The difference between two positive integers is 44. if the smaller is added to the square of the larger, the sum is 376376. find the integers.

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Answers (1)

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Diamond Lang · Answer 1

Let a be the bigger number and b the smaller.

So a-b=44

and a^2+b=376376

(44+b) ^2+b=376376

b^2+89b - 374440=0

Solve for b and you get a. Are you sure it is 376376 not 376?