Establish the relation between roots and coefficients
In the year 10 program, we looked at the relationships between the roots and coefficients of quadratic equations. Now, we will prove these relations.
We know the roots of a quadratic equation are:
(1) + (2) = -2b/2a = -b/a = - coefficient of x/coefficient of x^2
(1) x (2) =
(1) x (2) =
Therefore (1) x (2) = c/a = coefficient term/coefficient of x^2