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3 years ago

What are the like terms on the left side of the equation?

Mathematics

1 answer:

Nonamiya [84]3 years ago

3 0

Answer:

Like Terms: Terms that have identical variable parts (same variable(s) and same exponent(s)). When simplifying using addition and subtraction, you combine “like terms” by keeping the "like term" and adding or subtracting the numerical coefficients.

Step-by-step explanation:

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What adds up to -54 and multiplies to -16

Kaylis [27]

X + y = -54
xy = -16

$xy = -16$
$\frac{xy}{x} = \frac[-16}{x}$
$y = \frac{-16}{x}$

$x + y = -54$
$x + \frac{-16}{x} = -54$
$\frac{x^{2}}{x} + \frac{-16}{x} = -54$
$\frac{x^{2} - 16}{x} = -54$
$x^{2} - 16 = -54x$
$x^{2} + 54x - 16 = 0$
$x = \frac{-(54) \± \sqrt{(54)^{2} - 4(1)(-16)}}{2(1)}$
$x = \frac{-54 \± \sqrt{2916 + 64}}{2}$
$x = \frac{-54 \± \sqrt{2980}}{2}$
$x = \frac{-54 \± 59.6}{2}$
$x = -27 \± 29.8$
$x = -27 + 29.8$ $or$ $x = -27 - 29.8$
$x = 2.8$ $or$ $x = 56.8$

x + y = -54
  2.8 + y = -54
- 2.8 - 2.8
y = -56.8
(x, y) = (2.8, -56.8)

or

  x + y = -54
  -56.8 + y = -54
+ 56.8 + 56.8
y = 2.8
  (x, y) = (-56.8, 2.8)

The two numbers that add up to -54 and multiply to -16 are -56.8 and 2.8.

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