Question

Plz Solve it and give fast

Answer 1

Answer:

$k = 3.$

Step-by-step explanation:

$\alpha = \frac{ - b + \sqrt{ {b}^{2} - 12c} }{6} \\ \\ 6 \alpha = - b + \sqrt{ {b}^{2} - 12c } \\ \\ 6 \alpha + b = \sqrt{ {b}^{2} - 12c} \\ \\ {(6 \alpha + b)}^{2} = {b}^{2} - 12c \\ \\ 36 { \alpha }^{2} + {b}^{2} + 12b \alpha - {b}^{2} + 12c = 0 \\ \\ 36 { \alpha }^{2} + 12b \alpha + 12c = 0 \\ \\ 3 {x }^{2} + bx + c = 0 \\ \\ therefore \: \: \: \: k = 3.$