Question

X2+1/X2=6 find value of 10x-10/x
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Answer 1

The answer is 10(1- root 5).

HOPE THIS COULD HELP!!!

Answer 2

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

$=> {x}^{2} + 1 = 6 {x}^{2}$

$=>6 {x}^{2} - {x}^{2} = 1$

$=>5 {x}^{2} = 1$

$=>{x}^{2} = \frac{1}{5}$

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

To find, if↓↓

$\bold{10x - \frac{10}{x}}$

$=>10( \frac{1}{ \sqrt{5} } ) - \frac{10}{( \frac{1}{ \sqrt{5} }) }$

$=>\frac{10}{ \sqrt{5} } - 10 \sqrt{5}$

$=>2 \sqrt{5} - 10 \sqrt{5}$

$=>- 8 \sqrt{5}$

To find, if ↓↓

$\bold{\frac{10x - 10}{x}}$

$=>\frac{10 (\frac{1}{ \sqrt{5} } ) - 10}{ \frac{1}{ \sqrt{5} } }$

$=>\frac{2 \sqrt{5} - 10}{ \frac{1}{ \sqrt{5} } }$

$=>(2 \sqrt{5} - 10) \times \sqrt{5}$

$=>10 - 10 \sqrt{5}$

$=>10( 1 - \sqrt{5} )$