Answer :
[tex] - 4k^{2} - 4k + 6 = 0 \\ \\ 4k^{2} + 4k - 6 - 4 = 0 \\ \\ 4k^{2} + 4k - 10 = 0 \\ \\ k = \frac{ - 4 + 4 \sqrt{11} }{8} \frac{ - 4 - 4 \sqrt{11} }{8} \\ \\ k = \frac{ - 1 - \sqrt{11} }{2} \frac{ - 1 + \sqrt{11} }{2} [/tex]
[tex] - 4k^{2} - 4k + 6 = 0 \\ \\ 4k^{2} + 4k - 6 - 4 = 0 \\ \\ 4k^{2} + 4k - 10 = 0 \\ \\ k = \frac{ - 4 + 4 \sqrt{11} }{8} \frac{ - 4 - 4 \sqrt{11} }{8} \\ \\ k = \frac{ - 1 - \sqrt{11} }{2} \frac{ - 1 + \sqrt{11} }{2} [/tex]