Roots of a Quadratic Equation - Sum and Products of Roots

How to find α - β :
   • How to find the exact value of α - β  

How to find α² - β² :
   • How to find the exact value of α² - β²  

How to find α³ - β³ :
   • How to find the exact value of α³ - β³  

How to find α⁴ - β⁴ :
   • How to find the exact value of α⁴ - β⁴  

How to find α³ + β³ :
   • How to find the exact value of α³ + β³  

How to find α⁴ + β⁴ :
   • How to find the exact value of α⁴ + β⁴  

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. It is the general form of a quadratic equation where ‘a’ is called the leading coefficient and ‘c’ is called the absolute term of f (x). The values of x satisfying the quadratic equation are the roots of the quadratic equation (α, β).

The quadratic equation will always have two roots. The nature of roots may be either real or imaginary.