Question

What multiplies to 6 and adds to negative 4

Answer 1

-2+sqrt(2)i and -2-sqrt(2)i

Explanation:

use system of equations

xy = 6

x+y=-4

(-4-y)y=6

-y^2 -4y + 6 = 0

Use quadratic formula

y = -2 ± sqrt(2)i

Now substitute

x + (-2 ± sqrt(2)i) = -4

X = -4-(-2±sqrt(2)i) = -2±sqrt(2)i

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