## Find out what is a discriminant of a quadratic equation.

Home -> Solved problems -> Discriminant of quadratic equation

### Solution

Let’s take the general form of a quadratic equation:

\[ax^{2}+bx+c=0\;\;\;\;\;\;\; a\neq0\]

If \(b^{2}-4ac<0\) then there are no real roots for the quadratic equation.

If \(b^{2}-4ac=0\) then the quadratic equation has two real, identical roots:

If \(b^{2}-4ac>0\) then the quadratic equation has two real, distinct roots:

Home -> Solved problems -> Discriminant of quadratic equation

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Home -> Solved problems -> Discriminant of quadratic equation