What is x squared plus 144 equals 0?

Answer 1

You can work this out by using what we call "imaginary" numbers. By definition, imaginary numbers are numbers that when squared, will produce a negative value. Usually these are represented by multiplying real numbers by a constant called "i", which is defined as the square root of negative one.

In this case the answer will be:

x2 + 144 = 0
∴ x2 = -144
∴ x = -1441/2
∴ x = 1441/2 * -11/2
∴ x = 12i