Question

If (x+1/x)=4 find (x-1/x)

Answer 1

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Answer:

The answer is -2

Step-by-step explanation:

$\frac{x + 1}{x} = 4$

$x + 1 = 4x$

$3x = 1$

$x = \frac{1}{3}$

$\frac{x - 1}{x} = \frac{ \frac{1}{3} - 1 }{ \frac{1}{3} } = \frac{ \frac{1 - 3}{3} }{ \frac{1}{3} } = \frac{ \frac{ - 2}{3} }{ \frac{1}{3} }$

$= - 2$

Answer 2

Answer:

using this formula

(a-b)²=(a+b)²-4ab

(x-1/x)²= (x+1/x)²-4*x*1/x

(x-1/x)²= (x+1/x)²-4

(x-1/x)²= 4²-4

(x-1/x)= √16-4

(x-1/x)= √12

(x-1/x)= 2√3

answer

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