Question

determine the number and type of zeros of the quadratic function based on the value of the discriminant

Answer 1

If
`D>0` then
`x_1,x_2\in\mathbb{R}`.

If
`D=0` then
`x_1=x_2\wedge x_1,x_2\in\mathbb{R}`.

If
`D<0` then
`x_1,x_2\in\mathbb{C}`.

Hope this helps.