## How do you find equal roots?

A quadratic equation has equal roots iff its discriminant is zero.A quadratic equation has equal roots iff these roots are both equal to the root of the derivative..

## What are two equal real roots?

Equal or double roots. If the discriminant b2 – 4ac equals zero, the radical in the quadratic formula becomes zero. In this case the roots are equal; such roots are sometimes called double roots. Therefore, the roots are equal.

## What is the formula for sum of roots?

Example: What is an equation whose roots are 5 + √2 and 5 − √2. When a=1 we can work out that: Sum of the roots = −b/a = -b. Product of the roots = c/a = c.

## How do you prove that an equation has real roots?

To find a value of k that makes the roots rational and unequal the discriminant must be greater than 0 and a perfect square. So if k=0 or k=5 the roots will be rational and unequal. Prove that the roots of the equation x2−(a+b)x+ab−p2=0 are real for all real values of a, b and p.

## What is a discriminant formula?

Discriminant, in mathematics, a parameter of an object or system calculated as an aid to its classification or solution. In the case of a quadratic equation ax2 + bx + c = 0, the discriminant is b2 − 4ac; for a cubic equation x3 + ax2 + bx + c = 0, the discriminant is a2b2 + 18abc − 4b3 − 4a3c − 27c2.