Question

find the roots of the quadratic equation 6x²-x-2=0 by the method of factorisation​

Answer 1

Answer:

Roots are: $\frac{-1}{2}, \frac{2}{3}$

Step-by-step explanation:

given equation: $6x^{2} - x - 2 = 0$

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

=> $3x ( 2x + 1 ) - 2 ( 2x + 1 ) = 0\\\\(2x + 1)(3x - 2) = 0\\\\2x + 1 = 0, 3x - 2 = 0\\\\\\2x = -1, 3x = 2 \\\\x = \frac{-1}{2}, x = \frac{2}{3}$

∴ The roots are $\frac{-1}{2}, \frac{2}{3}$