# How do you find equal roots?

## How do you find equal roots?

For an equation ax2+bx+c = 0, b2-4ac is called the discriminant and helps in determining the nature of the roots of a quadratic equation. If b2-4ac > 0, the roots are real and distinct. If b2-4ac = 0, the roots are real and equal. If b2-4ac < 0, the roots are not real (they are complex).

## What is the formula of two equal roots?

For the quadratic equation ax2 + bx + c = 0, the expression b2 – 4ac is called the discriminant. The value of the discriminant shows how many roots f(x) has: – If b2 – 4ac > 0 then the quadratic function has two distinct real roots.

What is the nature of roots calculator?

Nature of Roots Calculator Use the sliders to adjust the values of a,b , and c , the simulation then gives the value of the discriminant, the number of real roots, and shows the graph of the quadratic equation. The standard form of the quadratic equation is ax2+bx+c=0 a x 2 + b x + c = 0 where a≠0 a ≠ 0 .

### What are 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.

### Which of the following equation has equal roots?

Answer: Using the standard ax^2 + bx + c =0, the quadratic will have two equal roots if the discriminant b^2 – 4ac = 0.

How do you determine the quadratic equation having roots that are real numbers and equal?

To determine the nature of roots of quadratic equations (in the form ax^2 + bx +c=0) , we need to caclulate the discriminant, which is b^2 – 4 a c. When discriminant is greater than zero, the roots are unequal and real. When discriminant is equal to zero, the roots are equal and real.

#### What is the equal real 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. The equality of the roots is thus verified.

#### What does two equal roots mean in maths?

When solving a quadratic equation for which the discriminant is zero (ie. b2−4ac=0) we say there are “two real and equal roots”.

When roots of quadratic equation are equal?

The quadratic equation ax2 + bx + c = 0 has equal roots if its discriminant b2 – 4ac = 0.

## Which of the following has no equal roots?

Solution: A quadratic equation ax2 + bx + c = 0 has no real roots if discriminant < 0. Hence option A is the answer.

## How do you know if roots are equal or unequal?

How do you find the general root of a number?

Exponent Calculator | Scientific Calculator | Log Calculator. In mathematics, the general root, or the nth root of a number a is another number b that when multiplied by itself n times, equals a. In equation format: n √ a = b. b n = a.

### How to find the roots of a polynomial?

Step 1: Enter the polynomial in the given input boxes. Step 2: Click on the “calculate” button to find the roots of a given polynomial. Step 3: Click on the “Reset” button to clear the fields and solve for different polynomials. How to Find Roots Calculator? A polynomial with a degree of 2 is known as a quadratic polynomial.

### How do you calculate square roots?

There exist more precise and efficient ways to calculate square roots, but below is a method that does not require significant understanding of more complicated math concepts. To calculate √ a: Divide a by b. If the number c returned is precise to the desired decimal place, stop.

What is Cuemath’s roots calculator?

‘Cuemath’s Roots Calculator’ is an online tool that helps to calculate the roots of a given polynomial. Cuemath’s online Roots Calculator helps you to calculate the roots of a given polynomial in a few seconds. NOTE: Enter a polynomial only in terms of x only.