what two numbers add up to 39 and multiply to -880?

Question

03-02-2016
Mathematics

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what two numbers add up to 39 and multiply to -880?

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Panoyin Panoyin · Answer 1 · 2016-02-03T23:49:58+01:00

x + y = 39
xy = -880

x + y = 39
x - x + y = -x + 39
y = -x + 39

  xy = -880
  x(-x + 39) = -880
  x(-x) + x(39) = -880
-x² + 39x = -880
-x² + 39x + 880 = 0
-1(x²) - 1(-39x) - 1(-880) = 0
  -1(x² - 39x - 880) = 0
  -1 -1
  x² - 39x - 880 = 0
  x² - 55x + 16x - 880 = 0
x(x) - x(55) + 16(x) - 16(55) = 0
x(x - 55) + 16(x - 55) = 0
  (x + 16)(x - 55) = 0
x + 16 = 0      or        x - 55 = 0
- 16 - 16 + 55 + 55
  x = -16      or     x = 55

  x + y = 39
  -16 + y = 39
+ 16 + 16
y = 55
  (x, y) = (-16, 55)

or

x + y = 39
55 + y = 39
- 55 - 55
y = -16
(x, y) = (55, -16)

The two numbers that add up to 39 and multiply to -880 are 55 and -16.