Question

How do you find the discriminant of `x^2+4x+3=0` and use it to determine if the equation has one, two real or two imaginary roots?

Answer 1

`D=B^2-4AC`
Where `A,B,C` are numbers from left to right in an ordered equation.

Explanation:

`D=4^2-4*1*3=16-12=4`

`D>0->` two real solutions (`x=-1andx=-3`)
`D=0->` one real solution
`D<0->` two imaginary solutions
graph{x^2+4x+3 [-10.53, 5.27, -1.447, 6.45]}