# what is a double root

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## what is a double root

: a root that appears twice in the solution of an algebraic equation. ## What is a double root?

: a root that appears twice in the solution of an algebraic equation.

## What is a double root of a function?

A double root occurs when a second-degree polynomial touches the x-axis but does not cross it. … A double root can be confirmed mathematically by examining the equation for solving a second-degree polynomial. If the discriminant, or square root of b^2-4*a*c, is equal to zero, then the equation has a double root.

## How do you find a double root of an equation?

A double root can be confirmed mathematically by examining the equation for solving a second-degree polynomial. If the discriminant, or square root of b^2-4*a*c, is equal to zero, then the equation has a double root.

## What is double root in quadratic equation?

Introduction to Mathematics and Algebra Irrational 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.

## What is an example of a double root?

(x − 5)(x − 5) = (x − 5)2. The two roots are equal, they are 5, 5. 5 is called a double root. … A double root occurs when the quadratic is a perfect square trinomial: x2 ±2ax + a2; that is, when the quadratic is the square of a binomial: (x ± a)2.

## How do you find the double roots of a quadratic equation?

The discriminant of Ax2+Bx+C=0 is B2-4AC. The quadratic will have a double root only when B2-4AC=0. For the given equation, B2-4AC = (-24)2 – 4(16)(k) = 576 – 64k. Setting the discriminant equal to zero, we have 64k = 576.

## How do you write an equation with double roots?

Polynomials of the 2nd degree. Solving the quadratic equation by factoring. A double root. Quadratic inequality. The sum and product of the roots.

## How do you find a double root?

A double root occurs when the quadratic is a perfect square trinomial: x2 ±2ax + a2; that is, when the quadratic is the square of a binomial: (x ± a)2.

## What is a single root?

Simple Root. A root having multiplicity n=1 is called a simple root. For example, f(z)=(z-1)(z-2) has a simple root at z_0=1 , but g=(z-1)^2 …

## What does a double root mean?

: a root that appears twice in the solution of an algebraic equation.

## Is a double root one root?

We know that when a quadratic equation ax2+bx+c=0 has zero discriminant value, then the quadratic equation has only "one root". But why do some mathematician call it "double root" and also that the equation still has two roots, but their roots are double.

## What is a double root in a function?

A double root occurs when a second-degree polynomial touches the x-axis but does not cross it. … A double root can be confirmed mathematically by examining the equation for solving a second-degree polynomial. If the discriminant, or square root of b^2-4*a*c, is equal to zero, then the equation has a double root.

## What is a single root and double root?

The first root on the left side is a single root because it only touches the x axis once. The second root is a double root because it "kisses" the x axis. The third one is a triple root because when examined closely, it touches the x axis three times.

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