Math, asked by deepakkumar5891, 5 months ago

The sum of the squares of two positive integers is 208. If the square of the

larger number is 18 times the smaller number, find the numbers​

Answers

Answered by rautelad83
0

Answer:

Let the smaller number be x. Then,

Square of larger number = 18x

Square of the smaller number = x

2

Therefore,

x

2

+18x=208

x

2

+18x−208=0

(x+26)(x−8)=0

x=8,−26

But, the numbers are positive.

So, x=8

Hence, the numbers are 8 and 12.

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