Question

vii
. (x + 2)2 = 2x (x2 - 1)​

Answer 1

• $\sf{\bold{(x\:+\:2)\:2\:=\:2x\:(2x\:-\:1)}}$

${ }$

$\:\:\:\:\:\::\:\Longrightarrow\sf{(x\:+\:2)\:2\:=\:2x\:(2x\:-\:1)}$

${ }$

$\:\:\:\:\:\::\:\Longrightarrow\sf{2x\:+\:4\:=\:4x^{2}\:-\:2}$

${ }$

$\:\:\:\:\:\::\:\Longrightarrow\sf{4x^{2}\:-\:2\:-\:2x\:-\:4}$

${ }$

$\:\:\:\:\:\::\:\Longrightarrow\sf{4x^{2}\:-\:2x\:-\:6\:=\:0}$

${ }$

$\:\:\:\:\:\::\:\Longrightarrow\sf{4x^{2}\:-\:(6\:-\:4)\:x\:-\:6\:=\:0}$

${ }$

$\:\:\:\:\:\::\:\Longrightarrow\sf{4x^{2}\:-\:6x\:+\:4x\:-\:6\:=\:0}$

${ }$

$\:\:\:\:\:\::\:\Longrightarrow\sf{2x\:(2x\:-\:3)\:+\:2\:(2x\:-\:3)\:=0}$

${ }$

$\:\:\:\:\:\::\:\Longrightarrow\sf{2x\:+\:2\:=\:0\:;\:2x\:-\:3\:=\:0}$

${ }$

$\:\:\:\:\:\::\:\Longrightarrow\sf{2x\:=\:-2\:;\:2x\:-\:3\:=\:0}$

${ }$

$\:\:\:\:\:\::\:\Longrightarrow\sf{x\:=\:{\frac{-2}{2}}\:;\:x\:=\:{\frac{3}{2}}}$

${ }$

${ }$

• $\sf{\bold{∴\:}}{\bold{\underline{Hence,\:the\:answer\:is\:-1\:,\:{\frac{3}{2}}}}}$