Question

If x - 1/x = 4, then x² + 1/x² is equal to:
14
8
18
-14​

Answer 1

Answer:

x²+1/x² is equal to 18

Answer 2

$\tt \green{given : \dag \: \frac{x - 1}{x} = 4 }$

$\tt \red{too \: find : \dag \: \frac{ {x}^{2} + 1 }{ {x}^{2} } }$

$\mathfrak \blue {answer : }$

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

$\mathfrak{x - 1 = 4x}$

$\mathfrak{4x - x = - 1}$

$\mathfrak{3x = - 1}$

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

$\tt{fill \: the \: value \: of \: x \: in \: above \: equation}$

$\mathfrak{ \frac{ (\frac{1}{3} ){}^{2} + 1}{(\frac{1}{3} ){}^{2}} }$

$\mathfrak{ \frac{ \frac{1}{9} + 1 }{ \frac{1}{9} } }$

$\mathfrak{ \frac{ \frac{1 + 9}{9} }{ \frac{1}{9} } }$

$\mathfrak{ \frac{ \frac{10}{9} }{ \frac{1}{9} } }$

$\mathfrak \blue{ \boxed{10}}$

Hope my answer will help you..

• You will get the answer in minus.