# Learn the numpy roots() function with code examples

The numpy `roots()` function is used to find the roots of a polynomial equation using the coefficient values.

The syntax of the function is as follows:

``````numpy.roots([n])
``````

The roots accept an array of polynomial coefficients as `[n, n, ...]` and return the roots of the equation.

If the array length is `n+1` then the polynomial is described by:

``````p[0] * x**n + p[1] * x**(n-1) + ... + p[n-1]*x + p[n]
``````

For example, if you have the following equation: x2 - 5x + 6

The coefficients are `1`, `-5`, and `6`.

Use the `root()` function to solve find the roots:

``````import numpy as np

np.roots([1, -5, 6])

# array([3., 2.])
``````

So x = 3, 2

You can also pass a floating number as one of the coefficient values:

``````import numpy as np

coeff = [3.7, 2, 1]

np.roots(coeff)
``````

The output will be:

``````array([-0.27027027+0.44409937j, -0.27027027-0.44409937j])
``````

And that’s how the `numpy.roots()` function works.

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