SOLUTION: Find two positive numbers such that the sum of the squares of the two numbers is 245 and the difference between the two numbers is 7.

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Question 1040793: Find two positive numbers such that the sum of the squares of the two numbers is 245 and the difference between the two numbers is 7.
Found 2 solutions by ikleyn, solver91311:
Answer by ikleyn(52792) About Me  (Show Source):
You can put this solution on YOUR website!
.
7 and 14.

7%5E2+%2B+14%5E2 = 245.


Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!










Expand the squared binomial, collect like terms in the LHS, and solve the quadratic for , excluding the negative root, then calculate .

John

My calculator said it, I believe it, that settles it