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katen-ka-za [31]
3 years ago
15

Solve the quadratic equation x2 + 14x = 51 by completing the square.

Mathematics
1 answer:
tankabanditka [31]3 years ago
4 0

Answer:

B

Step-by-step explanation:

Given

x² + 14x = 51

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(7)x + 49 = 51 + 49 , that is

(x + 7)² = 100 ( take the square root of both sides )

x + 7 = ± \sqrt{100} = ± 10 ( subtract 7 from both sides )

x = - 7 ± 10

Thus

x = - 7 - 10 = - 17

x = - 7 + 10 = 3

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Which expression is equivalent?
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Explanation:
It is the property of log that if it contains the fraction, it can be expressed as the difference of the log of numerator and the log of denominator.

The general form is:
log( \frac{x}{y} ) = log(x) - log(y)

Hence the correct answer is log_3c - log_{3}9.


8 0
3 years ago
A town has a population of 12000 and grows at 3.5% every year. What will be the population after 7 years, to the nearest whole n
Setler79 [48]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
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navik [9.2K]

Answer:

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Step-by-step explanation:

5 0
3 years ago
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Rainbow [258]

Answer:

= 4374.

Step-by-step explanation:

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4 0
3 years ago
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ziro4ka [17]

Answer:

a

Step-by-step explanation:

it is being reflected of the other end

8 0
2 years ago
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