Find the roots of the following quadratic equations by factorisation:
$2x^2 + x – 6 = 0$

Given:

$2x^2 + x – 6 = 0$

To do:

We have to find the roots of the given quadratic equation.

Solution:

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

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

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

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

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

$x=-2$ or $2x=3$

$x=-2$ or $x=\frac{3}{2}$

Hence, the roots of the given quadratic equation are $-2$ and $\frac{3}{2}$.

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Updated on: 10-Oct-2022

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