Question

factorise it
$2 {x}^{2} - x - 6 = 0$
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Answer 1

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

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

Q:-factorise

${2x}^{2} - x - 6 = 0$

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

------>>>>Here is your answer<<<<--------

$➾2 {x}^{2} - x - 6 = 0$

$➾2 {x}^{2} - 3x + 2x - 6 = 0$

$➾2x(x - 3) + 2(x - 3) = 0$

$➾(2x + 2)(x - 3) = 0$

$➾2x + 2 = 0$

$➾2x = - 2$

$➾x = - 1$✓

$➾x - 3 = 0$

$➾x = 3$✓

HOPE IT HELPS YOU..

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Thankyou:)

Answer 2

$= > \: {2x}^{2} - x - 6 = 0$

$= > \: {2x}^{2} - 4x + 3x - 6 = 0$

$= > \: 2x(x - 2) \: + 3(x - 2) = 0$

$= > \: x = 2 \: and \: x = \frac{ - 3}{2}$