Question

What two numbers multiply to get 18 but add to get -12

Answer 1

Answer:

-6+3$\sqrt{2}$ and -6-3$\sqrt{2}$

Step-by-step explanation:

xy = 18

x+y = -12

y = -12-x

substitution method:

x(-12-x) = 18

-12x - x² - 18 = 0

-x² - 12x - 18 = 0

-(x² + 12x + 18) = 0

used quadratic formula:

(-12±√144 - 4(18)) ÷ 2

(-12 ± $\sqrt{72}$) ÷ 2

(-12 ± 6$\sqrt{2}$) ÷ 2

= -6 ± 3$\sqrt{2}$