(note that these are imaginary (or) complex numbers). Thus, the roots of the equation are 7i and -7i. Thus, the roots of the equation are 2 and -2. The process is explained with examples below. This can be solved by taking square root on both sides. In a quadratic equation ax 2 + bx + c = 0, if the term with b is missing then the equation becomes ax 2 + c = 0.
There are different methods used to solve quadratic equations. We know that any value(s) of x that satisfies the equation is known as a solution (or) root of the equation and the process of finding the values of x which satisfy the equation ax 2 + bx + c = 0 is known as solving quadratic equations. The standard form of a quadratic equation is given by the equation ax 2 + bx + c = 0, where a ≠ 0. It means the quadratic equation has a variable raised to 2 as the greatest power term.
The word "quadratic" is originated from the word "quad" and its meaning is "square". Before going to learn about solving quadratic equations, let us recall a few facts about quadratic equations.