First, find 3/4 of 24. 24/4=6, 6x3= 18. Now, find 1/9 of 18. 18 divided by the denominator, 9, is 2. Since the numerator is one, our answer remains as 2. So yeah, the answer is 2.

4 0

3 years ago

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If x-1/x = 9 find the value of x +1/x

iren [92.7K]

Answer:

$\sqrt{85}$

Step-by-step explanation:

Given

x - $\frac{1}{x}$ = 9 ← square both sides

(x - $\frac{1}{x}$ )² = 9²

x² - 2 + $\frac{1}{x^2}$ = 81 ( add 2 to both sides )

x² + $\frac{1}{x^2}$ = 83

Now

(x + $\frac{1}{x}$ )² = x² + $\frac{1}{x^2}$ + 2, thus

x² + $\frac{1}{x^2}$ = 83 + 2 = 85

(x + $\frac{1}{x}$ )²= 85 ( take the square root of both sides)

x + $\frac{1}{x}$ = $\sqrt{85}$

5 0

2 years ago