Vieta's formula is obtained by equating the general form of the quadratic equation




where a, b and c are the coefficients of the quadratic equation (which are arbitrary real numbers) and the vertex form of the quadratic equation:




where are the solutions or roots of the quadratic equation.


The Viet formulas are the formulas that give us the relationship between the coefficients and .


Derivation of Vieta's formula



We equate the general and zero form of the quadratic equation and find the relation between the coefficients of the quadratic equation and their zeros:


Let's derive the equation:



We get the Viet's formula which is the relationships between the coefficients of the quadratic equation and their solutions:





material editor: Loveth Nwechefom