0
x + y = -12, so that y = -x - 12
xy = 576
x(-x - 12) = 576
-x2 - 12x = 576
x2 + 12x = -576
x2 + 12x + 62 = -576 + 62
(x + 6)2 = -540 this is not possible for real numbers
x + 6 = ±√-540
x = - 6 ±√-540
x = - 6 ± 6i√15
x = -6 + 6i√15 or x = -6 - 6i√15
x = -(6 - 6i√15) or x = -(6 + 6i√15)
y = - 12 - x
y = - 12 - (-6 + 6i√15) or y = -12 - (-6 - 6i√15)
y = - 12 + 6 - 6i√15 or y = -12 + 6 + 6i√15)]
y = -6 - 6i√15 or y = -6 + 6i√15
y = -(6 + 6i√15) or y = -(6 - 6i√15)
Check:
x + y = -6 + 6i√15 + -6 - 6i√15 = -12 or
x + y = -6 - 6i√15 + -6 + 6i√15 = -12
xy = [-(6 - 6i√15)][-(6 + 6i√15)] = 62 - (6i√15)2 = 36 - 540i2 = 36 + 540 = 576 or
xy = [-(6 + 6i√15)][-(6 - 6i√15)] = 62 - (6i√15)2 = 36 - 540i2 = 36 + 540 = 576
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What are the factors of 200 that add up to 12?
212
What are the factors of 1000 that add up to 12?
1012
What factors of 12 add up to 16?
4 and 12
What four factors add up to forty eight?
12+12+12+12
What are two factors of -144 that add up to 0?
-144
Greatest common factor of 576 equal -73?
-64 and -9 are a factor pair of 576 that add up to -73
What two numbers add up to 48 and multiply to 576?
624
What factors of 360 add up to 15?
375
What are factors of -24 that add up to -14?
-38
Which factors of 120 add up to -7?
-1, 6 and -12.
What are all the composite numbers between 30-40 that have prime factors that add up to 12?
The only number between 30 and 40 with distinct prime factors which add up to 12 is 35.
What factors of -120 add up to -8?
-10 and 2 -12 and 4 -20 and 12
