Chapter 4 : Quadratic equation What is quadratic equation A quadratic equation in the variable x is an equation of the form ax 2 + bx + c = 0, where a, b, c are real numbers, a ≠ 0. Example 2x 2 + x – 300 = 0 , 2x 2 – 3x + 1 = 0, 4x – 3x 2 + 2 = 0 and 1 – x 2 + 300 = 0 In fact, any equation of the form p(x) = 0, where p(x) is a polynomial of degree 2, is a quadratic equation. But when we write the terms of p(x) in descending order of their degrees, then we get the standard form of the equation. That is, ax 2 + bx + c = 0, a ≠ 0 is called the standard form of a quadratic equation. How to check whether given equation is quadratic equation or not. Point 1 : After simplify the equation, highest power of variable should be 2. Point 2: After simplify the equation , equation can be represented in the form ax 2 +bx+c = 0 Example : a) (x – 2) 2 + 1 = 2x – 3 (x – 2) 2 + 1 = 2x – 3 can be rewritten as x 2 – 4x + 5 = 2x – 3 i.e., x 2 – 6...