Question

if x^2 + 1/2 = 7 find the value of x - 1/x​

Answer 1

Answer:

151

Step-by-step explanation:

151

151151151151151151151

Answer 2

Answer:

$x^2 + \frac{1}{2} = 7$

$x^2 = 7 - \frac{1}{2}$

$x^2 = \frac{14 - 1}{2}$

$x^2 = \frac{13}{2}$

$x = \frac{ \sqrt{13} }{ \sqrt{2} }$

or

$x = \sqrt{ \frac{13}{2} }$

then,

$x + \frac{1}{x} = \frac{ \sqrt{13} }{ \sqrt{2} } + \frac{1}{ \sqrt{ \frac{13}{2} } } = \frac{ \sqrt{13} }{ \sqrt{2} } + \frac{ \sqrt{2} }{ \sqrt{13} }$

$x + \frac{1}{x} = \frac{13 + 2}{ \sqrt{13 } \times \sqrt{2} }$

$x + \frac{1}{x} = \frac{15}{ \sqrt{13 \times 2} } = \frac{15}{ \sqrt{26} }$

hope it will help you