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nekit [7.7K]
3 years ago
12

Complete the square y=x^2+6x+8

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
8 0

Answer:

y = (x+3)² - 1

Step-by-step explanation:

To complete the square take the middle term b and divide by 2. Then square the value.

Here b = 6.

So 6/2 = 3

3² = 9

Add 9 to both sides of the equation.

x² + 6x + 8 = 0

x² + 6x + 9 + 8 = 9

(x+3)² - 1 = y

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27
larisa [96]

Answer:

The original nimber is 67.

Step-by-step explanation:

Let the two digits be x and y.

According to the question.

The sum of two digits of a two digit number is

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And, a two digit number can be written as

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when the digits are reversed, the number can be written as

y × 10 + x

the original number increases by 9. i.e.

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Replacing value of x by 13 - y,

y × 10 + 13 - y = 10(13 - y) + y + 9

10y + 13 - y = 130 - 10y + y + 9

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So, x = 13 - y

= 13 - 7

= 6

The original number is x × 10 + y = 6 x 10 + 7 = 67.

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