Question

How to use the discriminant to find out how many real number roots an equation has for `x^2 - 5x + 7 = 0`?

Answer 1

No real roots

Explanation:

`d=b^2-4ac`

If `d>0;"two real roots"`
If `d=0;"one distinct real roots"`
If `d<0;"no real roots"`

`d=(-5)^2-4(7)=25-28=-3`

`-3<0; "no real roots"`