Question

Solve by factorising:-

$1. \: 2x {}^{2} - x - 6 = 0$
From Quadratic Equation

Standard:- 10

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Answer 1

Given Equation is 2x^2 - x - 6 = 0

= > 2x^2 + 3x - 4x - 6 = 0

= > x(2x + 3) - 2(2x + 3) = 0

= > (x - 2)(2x + 3) = 0

= > x = 2, -3/2.


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Answer 2

Hey!!!!

Difficulty Level : Below Average

Chances of being asked in Board : 30%

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Let's factorize

=> 2x² - x - 6 = 0

By middle term splitting method

=> 2x² - 4x + 3x - 6 = 0

=> 2x(x- 2) + 3(x - 2) = 0

=> (x - 2)(2x + 3) = 0

Thus

=> x = 2 or x = - 3/2

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