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andrew-mc [135]
3 years ago
10

What two numbers multiply to -112 and add up to -54

Mathematics
2 answers:
maks197457 [2]3 years ago
8 0
-56 and 2.

-56 x 2 = -112

-56 + 2 = -54

I found this out by first dividing -112 by two, and then figuring out what number that I should add to it to equal -54 :) Hope this helps!
SVETLANKA909090 [29]3 years ago
6 0
Xy = -112
x + y = -54

xy = -112
\frac{xy}{x} = \frac{-112}{x}
y = \frac{-112}{x}

x + y = -54
x + \frac{-112}{x} = -54
\frac{x^{2}}{x} + \frac{-112}{x} = -54
\frac{x^{2} - 112}{x} = -54
x^{2} - 112 = -54x
x^{2} + 54x - 112 = 0
x^{2} + 56x - 2x - 112 = 0
x(x) + x(56) - 2(x) - 2(56) = 0
x(x + 56) - 2(x + 56) = 0
(x - 2)(x + 56) = 0
x - 2 = 0    or    x + 56 = 0
x = 2    or    x = -56

  x + y = -54
  2 + y = -54
- 2           - 2
        y = -56
  (x, y) = (2, -56)

          or

     x + y = -54
  -56 + y = -54
+ 56        + 56
           y = 2
    (x, y) = (-56, 2)

The two numbers that multiply to -12 and add up to -54 are -56 and 2.
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