Question

Find the roots of the quadratic equation 6x2 – x – 2 = 0.

Answer 1

6x² - x - 2 = 0

⇒ 6x² - 4x + 3x - 2 = 0

⇒ 2x(3x - 2) +1(3x - 2) = 0

⇒ (2x+1)(3x - 2) = 0

so either  (3x - 2) = 0 or  (2x+1) = 0

x = 2/3 or -1/2 ANSWER

Answer 2

Hi!

___________________________________

Finding the roots  of  the quadratic equation

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

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

= $3x ( 2x +1 ) - 2 ( 2x + 1 )$

= $( 3x - 2 ) ( 2x + 1 )$ = 0

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

$x = \frac{-1}{2}$

___________________________________

Thanks !!