Question

solve 4 x square - 4 x + 1 by splitting the middle term​

Answer 1

$\underline{ \underline{\large\green\maltese \large{ \bf \red{Given\: Expression:-}}}}$

$\large\dag\;$$\sf{4x^2-4x+1 }$

$\underline{ \underline{\large\purple\maltese \large{ \bf \orange{To\: Find:-}}}}$

$\bull \:$ $\textsf{Solution for x }$

$\underline{ \underline{\large\blue\maltese \large{ \bf \green{Solution:-}}}}$

❍$\: \sf{4x^2-4x+1 }$

$\large↦$$\sf{4x^2-2x-2x+1 }$

$\large↦$$\textsf{2x(2x-1)-1(2x-1) }$

$\quad\quad\quad\quad \sf(Taking\:Common)$

$\large↦$$\textsf{(2x-1)(2x-1)}$

$\underline{\sf Equating \: both \: to \: zero -}$

$\sf{2x-1 =0 }$

$\sf{2x = 1 }$

$\pink { \underline { \boxed{ \sf{x= \dfrac{1}{2}}}}}$