1.2 Solution of quadratic equations

1.2 Solution of quadratic equations

To find solution set of a quadratic equation, following methods are used:

1.2(i) Solution by factorization:

In this method, write the quadratic equation in the standard form as $ax^2 + bx + c = 0$ (i)

If two numbers $r$ and $s$ can be found for equation (i) such that $r + s = b$ and $rs = ac$ then $ax^2 + bx + c$ can be factorized into two linear factors.

The procedure is explained in the following examples.