Question

if x=1/root 2 -1 then prove x2-6+1/x2=0​

Answer 1

Step-by-step explanation:

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

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

$\frac{1 + \sqrt{2} }{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} }$

$\frac{ \sqrt2(1 - \sqrt{2}) }{ \sqrt2 \times \sqrt{2} }$

$x = \frac { \sqrt2 - 2 }{ 2}$

now,

put the values of X in the equation and then solve the equation it will give the answer 0