What is the difference between real and complex roots?

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Solution

The difference between real and complex roots:
Real roots Complex roots
A real root to an equation is a real number. A complex root to an equation is an imaginary root represented as complex numbers.
Example: The real roots of an equation $x^{2} + 3 x - 4 = 0$ are:
$x = - 4$ or $x = 1$
Example: The complex roots of an equation $x^{2} - 4 x + 8 = 0$ are:
$x = 2 + 2 i$ or $x = 2 - 2 i$
complex roots are always occur in pair for real polynomial
Hence,the difference is clearly explained.

Real roots	Complex roots
A real root to an equation is a real number.	A complex root to an equation is an imaginary root represented as complex numbers.
Example: The real roots of an equation $x^{2} + 3 x - 4 = 0$ are: $x = - 4$ or $x = 1$	Example: The complex roots of an equation $x^{2} - 4 x + 8 = 0$ are: $x = 2 + 2 i$ or $x = 2 - 2 i$
	complex roots are always occur in pair for real polynomial

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