Question

What is the meaning of 'real and distinct roots', and 'real and equal roots'?

Answer 1

Define the meaning of 'real and distinct roots', and ‘real and equal roots.

If an equation has real roots, the equation's solutions or roots are part of the set of real numbers. We argue that all the solutions or roots of the equations are not equal if the equation has distinct roots. When the discriminant of a quadratic equation is greater than $0$, it has real and distinct roots. The roots are real and equal if the discriminant value is equal to zero.

$\therefore Discriminant\left(D\right)>0$

Hence, if an equation has real roots, the equation's solutions or roots are part of the set of real numbers. We argue that all the solutions or roots of the equations are not equal if the equation has distinct roots. When the discriminant of a quadratic equation is greater than $0$, it has real and distinct roots. The roots are real and equal if the discriminant value is equal to zero.