Explain real root with examples

Roots of polynomials are the solutions for any given polynomial for which we need to find the value of the unknown variable. If we know the roots, we can evaluate the value of polynomial to zero. Every Equation of nth degree has a total ‘n’ real or imaginary roots.

Real roots

The real roots are expressed as real numbers.

Suppose ax2 + bx + c = 0 is a quadratic equation and D = b2 – 4ac is the discriminant of the equation such that:

If D = 0, then the roots of the equation are real and equal numbers.

If D > 0, then the roots are real and unequal.

If D < 0, then the roots are complex, i.e. not real roots.

Some of the examples of real roots are: -3, 2, 5, ¼, 5/3, √7, -√5….

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