Find relationships between roots and coefficients of a quadratic equation
These 2 equations give us the relationship between the roots and coefficients (a, b, c) of a quadratic equation.
Example 1.
![Picture](/uploads/1/1/5/3/11531538/1512315.png?673)
(i) -b/a = -2/1 = -2
(ii) c/a = -4/1 = -4
(iii) sum of roots/product of roots = (-b/a)/(c/a) = -2/-4 = 1/2
(iv) a^2 + 2ab + b^2 = (a+b)^2 = 4. 4 - 2ab = 4 + 8 = 12
(ii) c/a = -4/1 = -4
(iii) sum of roots/product of roots = (-b/a)/(c/a) = -2/-4 = 1/2
(iv) a^2 + 2ab + b^2 = (a+b)^2 = 4. 4 - 2ab = 4 + 8 = 12