Question

factorise
$2 {x}^{2} - x + 1 = 0$
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Answer 1

$\green{\bold{\underline{ ✪ UPSC-ASPIRANT✪ }}}$

$\red{\bold{\underline{\underline{QUESTION:-}}}}$

Q:-factorise and find roots

$2 {x}^{2} - x + 1 = 0$

$\huge\tt\underline\blue{Answer }$

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$⟹</p><p>2 {x}^{2} - x + 1 = 0$

$⟹</p><p>2 {x}^{2} - 2x + x + 1 = 0$

$⟹</p><p>2x(x - 1) - 1(x - 1) = 0$

$⟹</p><p>(2x - 1)(x - 1) = 0$

$⟹</p><p>2x - 1 = 0$

$⟹</p><p>x = \frac{1}{2}$✓

$⟹</p><p>x - 1 = 0$

$⟹</p><p>x = 1$✓

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HOPE IT HELPS YOU..

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Answer 2

$\sf \huge \orange {Answer}$

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

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

$\sf 2x(x - 1) - 1(x - 1) = 0$

$\sf (2x - 1)(x - 1) = 0$

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$\sf 2x - 1 = 0$

$\boxed {\sf x = \frac{1}{2}}$

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$\sf x - 1 = 0$

$\boxed{\sf x = 1}$

$\sf \red {Therefore, \: value \: of \: x = \frac{1}{2} \: and \: x=1}$