Question

9. The roots of the quadratic equation 6x² – x – 2 = 0 are (a) 23 , 12 (b) - 23 , 12 (c) 23 ,− 12 d) - 23 ,− 12

Answer 1

Answer:

(c) 2/3 and - 1/2

Step-by-step explanation:

Given quadratic equation is 6x² - x - 2 =0

Factorising the quadratic equation

6x² - x - 2 =0

6x²+3x-4x-2=0

Taking commons

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

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

Roots are 3x-2=0

3x=2

x=2/3 similarly the other root is - 1/2