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(4) Discuss the nature of the roots of the following equations :
(i) 4x2 + 15x – 25 = 0
(ii) 4x2 – 12x + 1 = 0
(iii) 9x2 + 6x + 1 = …
Examples :
(1) Solve the equations :
(i) 3x2 + 5x + 2 = 0
(ii) 3x2 – 5x + 2 = 0
(iii) 3x2 + 5x – 2 = 0
☼ Methods to solve Quadratic Equation : There are three different methods to solve the quadratic equation.
(i) Method of Factorization
e.g. Solve : 4 x2 – …
☼ Types of roots of a Quadratic Equation : There are four different types of roots associated with a Quadratic Equation.
(i) Rational and Distinct
e.g. Solve : 3 x2 +…
(11) A father is now five times as old as his son. Five years ago, he was nine times as old as his son. Find their present ages.
Soln. Let age of the father = x and that of the son = y
We are given that, x = 5y …