Question

Use the discriminant to determine the number of real solutions to the quadratic equation. -2a^2- 11a - 10 = 0

Answer 1

The quadratic equation is

`-2a^2-11a-10=0`

a = -2

b = -11

c = -10

discriminant is

`\begin{gathered} b^2-4ac \\ (-11)^2-4\cdot(-2)\cdot(-10) \\ 11^2-80 \\ 121-80 \\ \\ 41 \end{gathered}`

The discriminant is positive = 2 real solutions.