SOLUTION: The sum of two numbers is 23. The sum of the squares of the two numbers is 325. Find the numbers.
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Question 284231: The sum of two numbers is 23. The sum of the squares of the two numbers is 325. Find the numbers.
Answer by hello_me(3) (Show Source): You can put this solution on YOUR website!
so x + y = 23
and x2 + y2 = 325
therefore using subsitution:
x=23-y
so
(23-y)2 + y2 = 325
so when we expand we get
529-46y+2y2 = 325
2y2-46y+204=102
by factorising we get
2(y-17)(y-6)=0
and therefore our numbers are 17 and 6
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