SOLUTION: two numbers differ by 8 and the sum of their squares is 320. find the two numbers

Question 259570: two numbers differ by 8 and the sum of their squares is 320. find the two numbers
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
Let X and Y be the numbers. We get
(i)
(ii)
solve (i) for x to get
(iii)
substitute (iii) into (ii) to get
(iv)
expanding, we get
(v)
combine like terms to get
(vi)
setting =0 and factoring, we get
(vii)
factored, we get
(viii)
solving for y, we get
y = -16 or y = 8.
So, we have (-8, -16) ; (16,8)
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