Question

by splitting method split
6x²+11x+6

Answer 1

first check Discriminant = b² -4ac = (11)² -4(6)(6) = 121 - 144 < 0

so, no real value possible ,

complexes roots is possible ,
6x² +11x = -6
x² +11/6x = -1
x² +11/6x +(11/12)² = -1 + (11/12)²
(x + 11/12)² = -23/12²
take square root both sides
x + 11/12 = ±i√23/12

x = -11/12 ±i√23/12

=( -11 ±i√23)/12