Mathematics, 28.08.2019 16:30 jorgeb12316

What multiplies to -216 but adds to 6

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xy = -216
x + y = 6

x + y = 6
x - x + y = -x + 6
y = -x + 6

  xy = -216
  x(-x + 6) = -216
  x(-x) + x(6) = -216
-x² + 6x = -216
   -x² + 6x + 216 = 0
  -1(x²) - 1(-6x) - 1(216) = 0
  -1(x² - 6x - 216) = 0
-1 -1
  x² - 6x - 216 = 0
x² - 18x + 12x - 216 = 0
x(x) - x(18) + 12(x) - 12(18) = 0
x(x - 18) + 12(x - 18) = 0
  (x + 12)(x - 18) = 0
x + 12 = 0 or x - 18 = 0
- 12 - 12 + 18 + 18
x = -12 or x = 18

x + y = 6 x + y = 6
  -12 + y = 6 18 + y = 6
+ 12 + 12 - 18 - 18
y = 18     y = -12
  (x, y) = (-12, 18) or (x, y) = (18, -12)

The two numbers that multiply to -216 and add up to 6 are -12 and 18.

Answer from: Quest

What the options to that

Answer from: Quest

answer:

the position of equilibrium will shift to the left.

step-by-step explanation:

the general equation for the dissociation of a weak base is

b + h₂o ⇌ bh⁺ + oh⁻

according to le châtelier's principle, when a stress is applied to a system at equilibrium, the system will respond in a way that tends to relieve the stress.

if you apply a stress by adding more bh⁺ or oh⁻, the system will respond by moving in a direction that gets rid of the added ions.

the position of equilibrium will shift to the left, forming more of the undissociated base.

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