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Raquel Considine
Wiki User
∙ 13y agox + 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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