Question

How many roots can a quadratic equation have

Answer 1

2 roots, 1 root, or no roots

Explanation:

There is a maximum of two roots

If the maximum or minimum is on the x-axis there is 1 repeated root

The roots are imaginary if it does not touch the x-axis

Answer 2

Explanation:

It all depends on the discriminants sign.

The quadratic equation:

`ax^2+bx+c=0`

The discriminant:

`\Delta=b^2-4ac`

If Δ < 0, then the equation has no real solution

If Δ = 0, then the equation has one solution
`x=(-b)/(2a)`

If Δ > 0, then the equation has two different solution

`x=(-b\pm√(b^2-4ac))/(2a)`