Posted by ANDRIA on Monday, March 2, 2009 at 10:52pm.
Divide -272 by 2.
Then check your work.
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.
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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