SOLUTION: the difference of two positive numbers is 4 and the sum of their squares is 80. Find the numbers

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Question 350632: the difference of two positive numbers is 4 and the sum of their squares is 80. Find the numbers
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Hi,
Let x represent the smaller number. Then (x+4) will be the other.
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Question states
x%5E2+%2B+%28x%2B4%29%5E2+=+80
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x%5E2+%2B+x%5E2%2B+8x+%2B16+=+80
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2x%5E2+%2B+8x+%2B16+=+80
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2x%5E2+%2B+8x+-64+=+0
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factor
(2x - 8)(x+8) = 0
(x+8) = 0 this solution will not result in a positive number
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(2x-8) = 0
x = 4
Numbers are 4 and 8
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check your answer
16 + 64 = 80