Question 292378
The sum of two numbers is 20, and the sum of their squares is 208. Find the numbers.
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x+y = 20
{{{x^2 + y^2 = 208}}}
{{{x^2 + (20-x)^2 = 208}}}
{{{2x^2 - 40x + 192 = 0}}}
{{{x^2 - 20x + 96 = 0}}}
(x - 12)*(x - 8) = 0
x = 8
y = 12