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3 years ago

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

Mathematics

1 answer:

wlad13 [49]3 years ago

5 0

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 $\sqrt{2}$

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slavikrds [6]

Greetings!

To find the y-intercept, we can arrange the equation in slope y-intercept form:
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Rearrange:
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The y-intercept is: -13
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To find the x-intercept, we can input the value <<0>> in the place of y, as every x-intercept only occurs when y=0:
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Solve for x:
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$x=\frac{13}{3}$

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I hope this helped!
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