SOLUTION: sum of two number is 24.and product is 143.then sum of their square is?

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Question 823426: sum of two number is 24.and product is 143.then sum of their square is?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

sum of two numbers highlight_green%28x%29 and highlight_green%2824-x%29 is 24.

and product is 143:  

x(24-x) = 143    

x^2-24x + 143 = 0

(x-13)(x-11) =  0,  x is 11,13  and y is 13,11

the sum of their squares is:  11^2 + 13^2 = 121 + 169 = green%28290%29