SOLUTION: The product of sum of the two numbers and the sum of squares of these numbers is 5500 and product of difference of these numbers and difference of the squares of the same is 352.Fi

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Question 575626: The product of sum of the two numbers and the sum of squares of these numbers is 5500 and product of difference of these numbers and difference of the squares of the same is 352.Find these numbers...
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!

two numbers a and b
first equation:
the sum is adding them together a%2Bb
sum of the squares of each is same thing sqrt%28a%29%2Bsqrt%28b%29
the product of both sums is %28a%2Bb%29%28sqrt%28a%29%2Bsqrt%28b%29%29
this is set equal to 5500 so %28a%2Bb%29%28sqrt%28a%29%2Bsqrt%28b%29%29=5500
second equation:
difference of these numbers a-b
difference of the squares of the same sqrt%28a%29-sqrt%28b%29
product of the difference of these numbers and difference of the squares of the same %28a-b%29%28sqrt%28a%29-sqrt%28b%29%29
this is set equal to 352 so %28a-b%29%28sqrt%28a%29-sqrt%28b%29%29=352
.
so the 2 equations you are working with are:
%28a%2Bb%29%28sqrt%28a%29%2Bsqrt%28b%29%29=5500
%28a-b%29%28sqrt%28a%29-sqrt%28b%29%29=352
going to lunch brb to finnish