Question

The sum of the squares of two positive integer is 507. if the square of the larger number is 16 times the smaller number find the numbers.​

Answer 1

Step-by-step explanation:

Let the smaller number be x. Then,

Square of larger number = 18x

Square of the smaller number = x2

Therefore,

x2+18x=208

x2+18x−208=0

(x+26)(x−8)=0

x=8,−26

But, the numbers are positive.

So, x=8

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Hence, the numbers are 8 and 12.

Answer 2

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