Question

3x² - x - 2 = 0. by factorisation​

Answer 1

Answer:

The solutions of the equation are  $x=\dfrac{2}{3} \ \ \text{and} \ \ x=1$ .

Step-by-step explanation:

Given the quadratic equation,

$3x^2-x-2 =0$

We need to factorize this equation to solve.

We can modify the equation by writing the middle terms as,

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

Now we have common factors in the first two terms and in the last two terms. So we can factorize the equation as follows.

$\implies 3x(x-1)+2(x-1) =0\\\\\implies (3x+2)(x-1)=0\\\\\implies 3x-2=0 \ \ or \ \ x-1 =0\\\\\implies x=\dfrac{2}{3} \ \ or \ \ x=1$

The solutions of the equation are  $x=\dfrac{2}{3} \ \ \text{and} \ \ x=1$ .