Question 981315
one positive number is six more than another.
x, (x+6) are the number
 the sum of their squares is 260.
x^2 + (x+6)^2 = 260
FOIL(x+6)(x+6)
x^2 + x^2 + 6x + 6x + 36 = 260
Combine like terms
2x^2 + 12x + 36 - 260 = 0
2x^2 + 12x - 224 = 0
simplify, divide by 2
x^2 + 6x - 112 = 0
Factors to
(x+14)(x-8) = 0
 what are the numbers?
the positive solution
x = 8, and 14 obviously
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See if that works
8^2 + 14^2 = 
64 + 196 = 260
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