Factor the expression 2 k squared minus k minus 4 equals 0?

Answer 1

2 k^2 - k - 4 = 0

2 (k^2 - (1/2)k - 2) = 0

2 ((k - 1/4)^2 - 1/16 - 2) = 0

2 ((k - 1/4)^2 - 33/16) = 0

2 (k - 1/4 - sqrt(33)/4)(k - 1/4 + sqrt(33)/4) = 0

32 (4k - 1 - sqrt(33))(4k - 1 + sqrt(33)) = 0