Question

please factorise 4x^2 - x - 4 using splitting middle term method​

Answer 1

Step-by-step explanation:

4x^2-x-4

=4x^2 - x - 4 = 0

x^2 - x/4 - 1 = 0

x^2 - x/4 + (1/8)^2 - (1/8)^2 - 1 = 0

(x + 1/8)^2 - 1/64 -1 = 0

(x - 1/8)^2 = 65/64

x - 1/8 = √65/8

x = √65/8 + 1/8

= (√65 +1)/8