# ALGEBRA

WHAT 2 NUMBERS EQUALS -272 WHEN YOU MULTIPLY THEM AND THOSE SAME 2 NUMBERS EQUAL 2 WHEN YOU ADD THEM?

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1. Divide -272 by 2.
THEN, make sure that when you add them, they equal two. If not, then you either did the math wrong, or my method is wrong. Either way, good luck.

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posted by Katy
2. Use some intuition on these kind
You probably want integers.
You know one is positive , the other negative.
Since their sum is 2 they must be "almost" opposites, and they must be only 2 apart in their absolute value.

take √272 = 16.49...
so try 16 and 17

try the numbers +17 and -16

(+17)(-16) = -272
but +17 + (-16) = 1 , not 2

so there are no integers.

so let's try some algebra
x+y = 2 , -----> y = 2-x
xy = -272

x(2-x) = -272
x^2 - 2x - 272 = 0

x = 1 ± √273

so try x = 1 + √273 = 17.5227
then y = -17.5227

(17.5227)(-15.5227) = -271.9996
(17.5227) + (-15.5227) = 2

so the two numbers are 1+√273 and 2-√273

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posted by Reiny

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