Question

Find the value of x [ With the help of Greatest Integer Function anf Fractional Function . ]
2{x} = x + [x]
[ It is based on the Chapter Relarions and Functions , Class XI ]

Answer 1

$</p><p>{\underline{\underline{\color{cyan} Given\; Question\;Is}}}\\\\</p><p></p><p>{\color{blue}2\{x\}=x+[x]} \\\\</p><p></p><p></p><p></p><p>{\underline{\underline{\color{cyan} Explanation}}}\\\\</p><p></p><p></p><p>{\color{blue}2\{x\}=x+[x]} \\\\</p><p></p><p></p><p></p><p></p><p>2(x-[x])=x+[x] \\\\</p><p></p><p>{\color{red}\boxed{\boxed{\boxed{Becoz\;\{x\}=x-[x]}}}} \\\\</p><p></p><p></p><p>2x-2[x]=x+[x] \\\\</p><p></p><p></p><p>2x-x=[x]+2[x] \\\\</p><p></p><p>x=3[x] \\\\</p><p></p><p>3[x]=x \\\\</p><p></p><p>{\color{green}x=0\; is\; only \;the \;possible\; Solution} \\\\</p><p></p><p>\therefore \;x=0</p><p></p><p></p><p></p><p></p><p></p><p></p><p>$