Question

A number is greater than thrice its reciprocal by 26/3. What is the number?

A) 10 B) 11 C) 9 D) 8

Answer 1

Answer:

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Answer 2

Answer:

$\huge\boxed{D)8}$

Step-by-step explanation:

Let the no be x

according to the question

x = 3/x + 26/3

x - 3/x = 26/3

x² - 3 = 26x /3

3 ( x² - 3) = 26x

3x² - 26x - 9 = 0

By using quadratic formula

x = 26 ± √ 676 - 4 (3) (-9) / 6

x = 26 ± √ 676 + 108 / 6

x = 26 ± √ 784 / 6

x = 26 ± 28 / 6

Now on taking + sign

x = 26+28/6 = 54/6 = 9

On taking - sign x = 26 - 28 /6 = -2/6 = -1/3

Hence the number is 9 or -1/3..

therefore the number is 9 .

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