Answer:
c= -3 , c= -4
Step-by-step explanation:
[tex]c_{1,2} =\frac{-14+\sqrt{14^{2}-4*2*24 } }{2*2}[/tex]
[tex]\sqrt{14^{2}-4*2*24=2 }[/tex]
[tex]c_{1,2} =\frac{-14+2}{2*2}[/tex]
Separate the solutions:
[tex]c_{1} \frac{-14+2}{2*2} , c_{2} =\frac{-14-2}{2*2}[/tex]
c= -3
c= -4