Quadratic Equations Class 10 – Complete Notes, Formula, Examples & Practice Questions
Quadratic Equations Class 10 – Complete Notes, Formula, Examples & Practice Questions 1) What is a Quadratic Equation? A quadratic equation is an equation of degree 2. The standard form is, a x 2 + b x + c = 0 where a ≠ 0 a \neq 0 a , b, a, b, and c are real numbers. Examples x 2 − 5 x + 6 = 0 2 x 2 + 3 x − 5 = 0 2x^2+3x-5=0 5 x 2 − 20 = 0 2) Standard Form Every quadratic equation can be written as a x 2 + b x + c = 0 ax^2+bx+c=0 where a = coefficient of x 2 x^2 b = coefficient of x x c = constant term Example: 3 x 2 − 7 x + 2 = 0 3x^2-7x+2=0 Here, a = 3 b = -7 c = 2 3) Methods of Solving Quadratic Equations There are three methods. 1. Factorization Method The factorization method is the simplest way to solve a quadratic equation when it can be easily factored. Steps: Write the equation in standard form. Factorize the quadratic expression. Set each factor equal to zero. Find the values of the variable. Example: x 2 − ...