1 year ago

Complete the square X^2 - 12x =-20

Mathematics

1 answer:

UNO [17]1 year ago

7 0

Answer:

(x - 10)(x - 2) = 0, x = 10, 2

Step-by-step explanation:

x² - 12x = -20

Add 20 to both sides.

x² - 12x + 20 = 0

To complete the square, find values that add up to the middle coefficient and multiply to the final number. In this case, -10 and -2 add to -12 and multiply to 20.

(x - 10)(x - 2) = 0

Now solve each individual pair.

x - 10 = 0

x = 10

x - 2 = 0

x = 2

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Answer:

Step-by-step explanation:

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3 years ago

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3 years ago

Determine the quotient, q(x), and remainder, r(x) when

Vinvika [58]

ANSWER

Quotient:

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Remainder:

$r(x) = 3x + 1$

EXPLANATION

The given functions are

$f(x) = 12 {x}^{4} + 21 {x}^{3} + 31 {x}^{2} + 21x + 9$

and

$g(x) = 3 {x}^{2} + 3x + 4$

We want to find the remainder and quotient when f(x) is divided by g(x).

We perform the long division as shown in the attachment.

The quotient is

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The remainder is

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