### Plus One - Chapter 5 - Complex Numbers and Quadratic Equations

In earlier classes, we have studied linear equations in one and two variables and quadratic equations in one variable. We have seen that the equation x 2 + 1 = 0 has no real solution as x 2 + 1 = 0 gives x 2 = – 1 and square of every real number is non-negative. So, we need to extend the real number system to a larger system so that we can find the solution of the equation x 2 = – 1. In fact, the main objective is to solve the equation ax2 + bx + c = 0, where D = b 2 – 4ac < 0, which is not possible in the system of real numbers.

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