Question

What is a quadratic equation formula?

Answer 1

Quadratic equation formula.

The Standard Form of a quadratic equation is $a{x}^2+bx+c=0$,$a\ne 0$. where $a\mathrm{and}b$is the coefficient of variables and $c$ is any constant. Moreover$a,b,c\in \mathrm{ℝ}$.
The quadratic equation formula is used to solve the quadratic equation which cannot be solved by the factorization method.

The quadratic formula is:

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

Here, $D=b^2-4ac$ is the discriminant

• If $D>0$ then the roots of the quadratic equation are distinct and real.
• If $D<0$ then roots of the quadratic equation are distinct and non-real.
• If $D=0$ then the roots of the quadratic equation are equal and real.

Thus, the quadratic formula is$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$.