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Two numbers added together make 17 multiply them together and you have 66 what is the answer if you take one away from the other?
Wiki User
∙ 14y ago
83
Alphonso Nicolas
Wiki User
∙ 14y agosimple answer:
+/- 5
long worked answer:
let x = one of the numbers
y = other number
x+y = 17
xy = 66
solve for y
y = 17 - x
plug it in
x(17-x) = 66
multiply it out
17x - x^2 = 66
rearrange and multiply both sides by -1
x^2 - 17x + 66 = 0
factor
(x - 6) (x - 11) = 0
for the left side to equal the right, x must equal either 6 or 11
plug back in to solve for y
y = 17 - x
so y = 17 - 6 = 11
or 17 - 11 = 6
so if x = 6, y = 11
and if x = 11, y = 6
since the question is what is answer if you take one away from the other...
it's either 11 - 6 or 6 - 11, giving 5 or -5.
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