Formation of quadratic equations from given roots and conditions.
i) The quadratic equations whose roots are a and b is
where S = sum of roots and P = product of roots
ii) Quadratic equations with real coefficients, the complex roots always occur in conjugate pairs .
i.e., a + ib and a - ib
iii) Quadratic equations with rational coefficients the irrational roots always occur in conjugate pairs.
Examples:
Form the quadratic equation whose roots are given below
Suggested answer:
Suggested answer:
The quadratic equation is
