Question

if reciprocal of a number equal to its quadruple what's the number?

Answer 1

$\underline{\mathfrak{Solution :}}$

$\text{Let the number is \textbf{x},}$

$\mathsf{ \implies Reciprocal \: of \: \textbf{x} \: = \: \dfrac{1}{x}}$

$\mathsf{\implies Quadruple \: of \: \textbf{x} \: = \: 4x}$

$\text{According to question,}$

$\mathsf{ \implies Reciprocal \: of \: \textbf{x} \: = \: Quadruple \: of \: \textbf{x}}$

$\mathsf{\implies \dfrac{1}{x} \: = \: 4x} \\ \\ \mathsf{\implies 1 \: = \: 4{x}^{2}} \\ \\ \mathsf{ \implies \dfrac{1}{4} \: = \: x^{2} } \\ \\ \mathsf{ \implies x \: = \: \sqrt{ \dfrac{1}{4} } } \\ \\ \mathsf{ \therefore \quad x \: = \: \pm \dfrac{1}{2} }$

$\boxed{\mathsf{The \: \: required \: \: no. \: \: is \: \: \pm\dfrac{1}{2}}}$

Answer 2

this is the answer,
therefore the value of x = +-(1/2)