The quadratic equation is
[tex]-2a^2-11a-10=0[/tex]a = -2
b = -11
c = -10
discriminant is
[tex]\begin{gathered} b^2-4ac \\ (-11)^2-4\cdot(-2)\cdot(-10) \\ 11^2-80 \\ 121-80 \\ \\ 41 \end{gathered}[/tex]The discriminant is positive = 2 real solutions.
