SOLUTION: The sum of two numbers is 22 and the sum of their squares is 250 find the two numbers
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Question 358420: The sum of two numbers is 22 and the sum of their squares is 250 find the two numbers
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
let the numbers be x & y
x+y = 22
x= 22-y
x^2+y^2=250
..
plug value of x in the equation
(22-y)^2+y^2=250
484-44y+y^2+y^2=250
2y^2-44y+484-250=0
2y^2-44y+234=0
/2
y^2-22y+117=0
x^2-13y-9y+117=0
x(x-13)-9(x-13)=0
(x-13)(x-9)=0
x= 13 OR 9
the numbers are 9 & 13
...
m.ananth@hotmail.ca
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