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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 |
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Answer» Let the smaller number be X. Then,Square of LARGER number = 18xSquare of the smaller number = x 2 THEREFORE,x 2 +18x=208x 2 +18x−208=0(x+26)(x−8)=0x=8,−26But, the NUMBERS are positive.So, x=8Hence, the numbers are 8 and 12. |
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