What is Quadratic Equation?

Quadratic equations are the polynomial equations of degree 2 in one variable of type f(x) = ax2 + bx + c = 0 where a, b, c, ∈ R and a ≠ 0.

Roots of Quadratic Equation

The values of variables satisfying the given quadratic equation are called its roots. In other words, x = α is a root of the quadratic equation f(x), if f(α) = 0.

What is Discriminant?

The term (b2 – 4ac) in the quadratic formula is known as the discriminant of a quadratic equation.

Relationships between Coefficient and Roots of  Quadratic Equation

If α and β are roots of a Quadratic Equation ax2 + bx + c = 0 then,

α + β = -b/a

αβ = c/a

The relationship between the roots and coefficient of a polynomial equation can be derived by simplifying the given polynomials and substituting the above results as shown below.