The equation is known as quadratic equation in one variable where i.e., we get the roots in real numbers.
Let’s take the equation , where , this is not a real number, i.e., for a quadratic equation where < , we can’t get a real roots for this. So we can take , is the imaginary number to find out the root of the equation .
Hence , in the quadratic equation we get two imaginary roots.
The number which is of the form , where and are real numbers is defined to be a complex number.
We also take , where is the real part, denoted by and is the imaginary part denoted by .
The set consists of all the complex numbers is called a complex number set or set of complex numbers and denoted as .
Two complex numbers and are equal iff and
If , where and are real numbers, then find the value of and .