Question

If x-1/x=3/2 , then the value of x+1/x is

Answer 1

Answer: hope this helps you

Step-by-step explanation:

Answer 2

$\huge\boxed{\mathbb{\underline{\underline{GIVEN}}}}$

$\texttt{ \dfrac{\:x\:-\:1\:}{\:x\:}\:=\:\dfrac{3}{2} }$

$\huge\boxed{\mathbb{\underline{\underline{TO\: CALCULATE}}}}$

$\texttt{ \dfrac{\:x\:+\:1\:}{\:x\:} }$

$\huge\bf\mathfrak\pink{Answer}$

$\textsf{ \dfrac{\:x\:-\:1\:}{\:x\:}\:=\:\dfrac{\:3\:}{\:2\:} }$

$\huge\textsf{Cross\: Multiplying}$

$\textsf{ \:2\:(\:x\:-\:1\:)\:=\:3\:\times\:x\: }$

$\textsf{ \:2x\:-\:2\:=\:3x\: }$

$\textsf{ \:-\:x\:=\:2\: }$

$\textsf{ \:x\:=\:-\:2\: \:}$

$\huge\Longrightarrow\textbf{ \dfrac{\:x\:+\:1\:}{\:x\:} }$

$\textbf{Substituting\:the\:value\:of\:x\:as\: -2 \:,\:we\:get}$

$\textsf{ \dfrac{\:x\:+\:1\:}{\:x\:}\:=\:\dfrac{\:-\:2\:+\:1\:}{\:-\:2\:} }$

$\textsf{ \dfrac{\:x\:+\:1\:}{\:x\:}\:=\:\dfrac{\:-\:1\:}{\:-\:2\:} }$

$\textbf{Cancelling\:minus\:sign\:from\:fraction}$

$\textsf{ \dfrac{\:x\:+\:1\:}{\:x\:}\:=\:\dfrac{\:1\:}{\:2\:} }$

$\huge\mathcal{Answer}$

$\textbf{ \dfrac{\:x\:+\:1\:}{\:x\:}\:=\:\dfrac{\:1\:}{\:2\:} }$