SOLUTION: One number is greater than another number. If the sum of their squares is 5 times the square of the smaller number, what are the numbers. thanks :)

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Question 401046: One number is greater than another number. If the sum of their squares is 5 times the square of the smaller number, what are the numbers.
thanks :)
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose that a and b are the numbers, with a+%3E+b. Then,

a%5E2+%2B+b%5E2+=+5a%5E2

b%5E2+=+4a%5E2 --> cannot be solved for numerical values of a or b.