Question

x+1/x=6, find x-1/x
please help​

Answer 1

Answer:

$4 \sqrt{2}$

Step-by-step explanation:

$x + \frac{1}{x} = 6$

$(x + \frac{1}{x} ) {}^{2} = {6}^{2} = 36$

${x}^{2} + \frac{1}{ {x}^{2} } + 2 = 36$

${x}^{2} + \frac{1}{ {x}^{2} } = 36 - 2 = 34$

$(x - \frac{1}{x} ) {}^{2} + 2 = 34$

${(x - \frac{1}{x} )}^{2} = 34 - 2 = 32$

$x - \frac{1}{x} = \sqrt{32}$

$x - \frac{1}{x} = 4 \sqrt{2}$

PLEASE MARK BRAINLIEST...

Answer 2

if you want answer like this

$\frac{x + 1}{x} = 6$

so x + 1 = 6x

1 = 6x - x

1 = 5x

$\frac{1}{5} = x$

now for

$\frac{x - 1}{x} \\ \\ = \frac{ \frac{1}{5} - 1}{ \frac{1}{5} } \\ \\ = \frac{ \frac{1 - 5}{5} }{ \frac{1}{5} } \\ \\ = - 4$

I hope it helps you