aminat75u

2023-03-03

Find the roots of the quadratic equation $6{x}^{2}-x-2=0$.

Edwin Simmons

Solve for $x$:
The given equation is $6{x}^{2}-x-2=0$
$⇒$ $6{x}^{2}-4x+3x-2=0$
$⇒$$2x\left(3x-2\right)+1\left(3x-2\right)=0$
$⇒$ $\left(3x-2\right)\left(2x+1\right)=0$
$⇒$ $3x-2=0,2x+1=0$
$\therefore x=\frac{2}{3},-\frac{1}{2}$
Consequently, the given equation's roots are $\frac{2}{3}$ and $-\frac{1}{2}$.

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