Quadratic Equations:

Definition:

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.

Note: The graph of a quadratic equations is parabola.

Roots of a Quadratic Equation:

The roots of a quadratic equation are the two values of x, which are obtained by solving the quadratic equation. These roots of the quadratic equation are also called the zeros of the equation. For example, the roots of the equation x² - 4x - 5 = 0 are x = -1 and x = 5 because each of them satisfies the equation.

Methods to Solve Quadratic Equations

A quadratic equation can be solved to obtain two values of x or the two roots of the equation. There are five different methods to find the roots of the quadratic equation. The four methods of solving the quadratic equations are as follows.

• Factorizing of Quadratic Equation
• Using quadratic formula
• Method of Completing the Square
• Graphing Method to Find the Roots
• Using Calculator (See the video below)