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2 years ago

Multiply the binomials: (w-9) • (w-4)

Mathematics

1 answer:

Novay_Z [31]2 years ago

3 0

Answer:

w² - 13w + 36

Step-by-step explanation:

Given

(w - 9)(w - 4)

Each term in the second factor is multiplied by each term in the first factor, that is

w(w - 4) - 9(w - 4) ← distribute both parenthesis

= w² - 4w - 9w + 36 ← collect like terms

= w² - 13w + 36

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What two numbers multiply to 54 and add up to 7

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Xy = 54
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$\frac{xy}{x} = \frac{54}{x}$
$y = \frac{54}{x}$

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$x + \frac{54}{x} = 7$
$\frac{x^{2}}{x} + \frac{54}{x} = 7$
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$x = \frac{-(-7) \± \sqrt{(-7)^{2} - 4(1)(54)}}{2(1)}$
$x = \frac{7 \± \sqrt{49 - 216}}{2}$
$x = \frac{7 \± \sqrt{-167}}{2}$
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- (3.5 + 6.45i) - (3.5 + 6.45i)
y = 3.5 - 6.45i
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  or

  x + y = 7
3.5 - 6.45i + y = 7
- (3.5 - 6.45i)   - (3.5 - 6.45i)
y = 3.5 + 6.45i
(x, y) = (3.5 - 6.45i, 3.5 + 6.45i)

The two numbers that add up to 7 and can multiply to 54 is 3.5 ± 6.45i.

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