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3 years ago

Use the quadratic formula to solve x^2+8x+9=0

1 answer:

4 0

None of your options, not via complete the square nor quadratic the formula.

Solve for x over the real numbers:
x^2 + 8 x + 9 = 0

x = (-8 ± sqrt(8^2 - 4×9))/2 = (-8 ± sqrt(64 - 36))/2 = (-8 ± sqrt(28))/2:
x = (-8 + sqrt(28))/2 or x = (-8 - sqrt(28))/2

sqrt(28) = sqrt(4×7) = sqrt(2^2×7) = 2sqrt(7):
x = (2 sqrt(7) - 8)/2 or x = (-2 sqrt(7) - 8)/2

Factor 2 from -8 + 2 sqrt(7) giving 2 (sqrt(7) - 4):
x = 1/22 (sqrt(7) - 4) or x = (-2 sqrt(7) - 8)/2

(2 (sqrt(7) - 4))/2 = sqrt(7) - 4:
x = sqrt(7) - 4 or x = (-2 sqrt(7) - 8)/2

Factor 2 from -8 - 2 sqrt(7) giving 2 (-sqrt(7) - 4):
x = sqrt(7) - 4 or x = 1/22 (-sqrt(7) - 4)

(2 (-sqrt(7) - 4))/2 = -sqrt(7) - 4:

Answer: x = sqrt(7) - 4 or x = -sqrt(7) - 4_____________________________________________________

Solve for x:
x^2 + 8 x + 9 = 0

Subtract 9 from both sides:
x^2 + 8 x = -9

Add 16 to both sides:
x^2 + 8 x + 16 = 7

Write the left hand side as a square:
(x + 4)^2 = 7

Take the square root of both sides:
x + 4 = sqrt(7) or x + 4 = -sqrt(7)

Subtract 4 from both sides:
x = sqrt(7) - 4 or x + 4 = -sqrt(7)

Subtract 4 from both sides:
Answer: x = sqrt(7) - 4 or x = -4 - sqrt(7)

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Answer:

(D) $y=x+\frac{1}{2}$

Step-by-step explanation:

Two variables x and y are proportionally related if they can be written in the form y=kx, where k is the constant of proportionality.

From the given options, if $k=\frac{1}{2}$

(B) $y=\frac{1}{2}x$ is of the form y=kx

On the Contrary,

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3 years ago

The area of a rectangle court is 433.37 Square meters and the length of the court is 28.7 meters . What is width of the court?

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Answer:

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Step-by-step explanation:

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3 years ago

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sladkih [1.3K]

Answer:

1/2 ; 1/4

Step-by-step explanation:

Number of cards in a deck = 52

Number of red cards = 26

Number of spades = 13

Probability of event A :

P(A) = required outcome / Total possible outcomes

P( red card) = number of red cards / total cards in deck

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Answer:

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Lera25 [3.4K]

Answer:

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Step-by-step explanation:

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3 years ago