Question

2 X square + X - 6 equal to zero find the roots of the following quadratic equation by factorisation​

Answer 1

Answer:

Given Quadratic equation

2x² + x - 6 = 0

Splitting the middle term , we get

2x² + 4x -3x - 6 = 0

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

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

Therefore ,

x + 2 = 0 or 2x - 3 = 0

x = -2 or x = 3/2

Answer 2

Answer:

$\orange { -2 \: ,\frac{3}{2} \:are \:Roots \: of \: the \: equation }$

Step-by-step explanation:

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

/* Splitting the middle term, we get

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

$\implies 2x( x + 2) - 3( x + 2 ) = 0$

$\implies (x+2)(2x-3) = 0$

$\implies x + 2 = 0 \:Or \: 2x - 3 = 0$

$\implies x = -2 \: Or \: x = \frac{3}{2}$

Therefore.,

$\orange { -2 \: ,\frac{3}{2} \:are \:Roots \: of \: the \: equation }$

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