SOLUTION: The sum of two numbers is 11 and the sum of their squares is 65.find the numbers.

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Question 841686: The sum of two numbers is 11 and the sum of their squares is 65.find the numbers.
Answer by Narsinghchauhan8960103366(17) About Me  (Show Source):
You can put this solution on YOUR website!
let the first no is x
So the second no is (11-x)
According to question
x^2+(11-x)^2=65
x^2+121+x^2-22x=65
2x^2-22x+56=0
divide the equation by 2
x^2-11x+28=0
x^2-7x-4x+28=0
x(x-7)-4(x-7)=0
(x-7)(x-4)=0
(x-7)=0
x=7
(x-4)=0
x=4
So the No are 4 and 7