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Lana71 [14]
3 years ago
12

2.

Mathematics
1 answer:
forsale [732]3 years ago
3 0

Answer:

C

Step-by-step explanation:

Given

x² - 3x - 12 = 0 ( add 12 to both sides )

x² - 3x = 12

To complete the square

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

x² + 2(-\frac{3}{2} )x + \frac{9}{4} = 12 + \frac{9}{4}

(x - \frac{3}{2} )² = \frac{57}{4} ( take the square root of both sides )

x - \frac{3}{2} = ± \sqrt{\frac{57}{4} } = ± \frac{\sqrt{57} }{2} ( add \frac{3}{2} to both sides )

x = \frac{3}{2} ± \frac{\sqrt{57} }{2}

Then

x = \frac{3}{2} + \frac{\sqrt{57} }{2} ≈ 5.27 ( to the nearest hundredth )

x = \frac{3}{2} - \frac{\sqrt{57} }{2} ≈ - 2.27 ( to the nearest hundredth )

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Which of these sentences from the excerpt most strongly supports the correct answer to Question 5?

Answer choices for the above question

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Which of these inferences about the author’s point of view is best supported by the entire excerpt?

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