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## What do complex roots mean?

Complex solutions or roots are **numbers that have an imaginary part to them. The imaginary part, i, is found when taking the square root of a negative number.**

## What is a complex root example?

Such a graph tells us that the roots of the equation are complex numbers, and will appear in the form a + bi. The complex roots in this example are **x -2 + i and x -2 – i. These roots are identical except for the sign separating the two terms. One root is -2 PLUS i and the other root is -2 MINUS i.**

## What is a root of a complex number?

The roots of a complex number are also given by a formula. A complex number a + bu0131 is an nth root of a **complex number z if z (a + bu0131)n, where n is a positive integer.**

## Whats a real and complex root?

The Fundamental Theorem of Algebra assures us that any polynomial with real number coefficients can be factored completely over the field of complex numbers . In the case of quadratic polynomials , the roots are **complex when the discriminant is negative**

## What are complex roots of a function?

complex rootA complex root is a complex number that, **when used as an input ( ) value of a function, results in an output (****) value of zero. Imaginary NumbersAn imaginary number is a number that can be written as the product of a real number and .**

## How do you find complex roots?

Imaginary or complex roots will occur **when the value under the radical portion of the quadratic formula is negative. Notice that the value under the radical portion is represented by b**2 – 4ac. So, if b2 – 4ac is a negative value, the quadratic equation is going to have complex conjugate roots (containing i s).

## What do complex zeros represent?

Zeros are the solutions of the polynomial; in other words, the x values when y equals zero. Real zeros are the values of x when y equals zero, and they represent the x-intercepts of the graphs. Complex zeros are values of **x when y equals zero, but they can’t be seen on the graph.**

## What are complex roots?

Complex solutions or roots are **numbers that have an imaginary part to them. The imaginary part, i, is found when taking the square root of a negative number.**

## What is a complex root of a function?

You will see that there are roots, but they are not x -intercepts because the **function does not contain (x,y) pairs that are on the x -axis. We call these complex roots. By setting the function equal to zero and using the quadratic formula to solve, you will see that the roots are complex numbers.**

## How do you know if there is a complex root?

The Fundamental Theorem of Algebra assures us that any polynomial with real number coefficients can be factored completely over the field of complex numbers . In the case of quadratic polynomials , the roots are **complex when the discriminant is negative**