What is a quadratic equation?
A quadratic equation is a second degree (order) polynomial equation, thus it is guaranteed to have two solutions, both of which may be real or complex. This is seen in the standard form ax2 + bx + c = 0.
The roots of x can be found in the equation by factoring and completing the square (a method of transforming a quadratic equation so that it is in the form of a perfect square). For example, to solve the equation x2 - 3x = 4 by factoring, you would do the following:
First, write the equation in standard quadratic equation form:
Then factor the form:
In order for these numbers to equal zero, we determine that for (x - 4), x would be 4; and for (x + 1), x would equal -1. Thus, the solutions are 4 and -1.