SOLUTION: The sum of two numbers is 25 and the sum of their squares is 313. Find the numbers. (Hint let one of the numbers be x . Express the other number in terms of x.)

Algebra ->  Algebra  -> Polynomials-and-rational-expressions -> SOLUTION: The sum of two numbers is 25 and the sum of their squares is 313. Find the numbers. (Hint let one of the numbers be x . Express the other number in terms of x.)      Log On

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Question 26321: The sum of two numbers is 25 and the sum of their squares is 313. Find the numbers. (Hint let one of the numbers be x . Express the other number in terms of x.)
Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
Let the first number be x
Let the second number be 25-x
x%5E2%2B%2825-x%29%5E2=313
x%5E2-50x%2Bx%5E2%2B625=313
2x%5E2-50x%2B312=0%2Cx
Factor
(x-12) and (x-13)

Hence, the two numbers are 12 and 13.
Paul.