Question

What is the discriminant of `x^2+2x+3=0`?

Answer 1

Discriminant `->b^2-4ac`

`=0`, 1 real root
`>0`, 2 real roots
`<0`, 2 complex roots

`ax^2+bx+c=0`

`x^2+2x+3=0`

`a=1, b=2, c=3`

`(2)^2-4(1)(3)`

`4-12`

`-8<0 ->` 2 complex roots