Question

Solve the quadratic equation by completing the square.

Answer 1

`{k}^(2) + 2k + (15)/(2) = 0 \\ {k}^(2) + 2k + 1 = - \frac {15}{2} + 1 \\ {k + 1}^(2) = - (13)/(2) \\ k + 1 = - \sqrt{ (13)/(2) } \\ k = 1 + or - - \sqrt{ (13)/(2) }`