Question

Using the discriminant, how many times does the graph of `x^2+4x+6=0` cross the `x`-axis?

Answer 1

`"does not intersect with the x-axis"`

Explanation:

`x^2+4x+6toa=1,b=4,c=6`

`"using the "color(blue)"discriminant"`

`Delta=b^2-4ac=4^2-24=-8`

`"since " Delta<0" there are no real solutions"`

`rArr" graph does not intersect the x-axis"`
graph{x^2+4x+6 [-10, 10, -5, 5]}