Question

If x - (x-1)\3 =(x+1)\4 then the value of x is​

Answer 1

Correct Question :

• ${\sf{x\:+\; \dfrac{1}{4} \:=\:4}}$

A N S W E R :

• The value of x is 52

S O L U T I O N :

$\therefore$$~$${\sf{\bigg(x\:+\; \dfrac{1}{4} \bigg)^3\:=\:4^3}}$

$\therefore$$~$${\sf{x^3\:+\; \dfrac{1}{x^3}\:+\:3.x. \dfrac{1}{x} \bigg(x\:+\; \dfrac{1}{x} \bigg)\:=\:64}}$

:$\implies$${\sf{x^3\:+\; \dfrac{1}{x^3} \:=\:64\:-\:3.x. \dfrac{1}{x} \bigg(x\:+\; \dfrac{1}{x} \bigg)}}$

$~~~~~$:$\implies$${\sf{64\:-\:3\bigg(4\bigg)}}$

$~~~~~~~~~~$:$\implies$${\sf{64\:-\:12}}$

$~~~~~~~~~~~~~~~$:$\implies$${\underline{\boxed{\frak{\pink{52}}}}}$★

Hence,

• ${\underline{\textsf{The\;value\;of\;\textbf{x}\;is\;\textbf{52}.}}}$

$~~~~$$\qquad\quad\therefore{\underline{\textsf{\textbf{Hence, Verified!}}}}$

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