Question

Factorise:- 6x^2 - x - 2 by Completing Square Method and D Method​

Answer 1

Step-by-step explanation:

The discriminant

= b2 – 4ac

= 49 – 4 × 6 × 2

= 1 > 0

So, the given equation has two distinct real roots.

Now, 6x2 – 7x + 2 = 0 i.e.,

36x2 – 42x + 12 = 0 i.e.,

6x - (7/2)2 + 12 - 49/4 = 0 i.e.,

6x - (7/2)2 - (1/2)2

= 0 or (6x - 7/2)2 = (1/2)2

The roots are given by 6x - 7/2 = ±1/2 i.e.,

6x = 4, 3 i.e.,

x = 2/3, 1/2.