Question

Extracting square roots n²-3n+10=0

Answer 1

Given:

Given equation is $n^2-3n+10=0$.

To find:

We need to extract or find the roots of the given quadratic equation.

Solution:

To find the roots of given equation, follow the below steps.

Step 1: Express the given quadratic equation in the standard form

            ($ax^2+bx+c=0$).

$\Rightarrow n^2-3n+10=0$

$\Rightarrow n^2+(-3)n+10=0$

Step 2: Now, we should find the value of discriminant.

Discriminant $=b^2-4ac$

                     $=(-3)^2-4\times1\times10$

                     $=9-40$

                     $=-31$

Here, the value of discriminant is less than zero (0).

It means that, the quadratic equation does have any roots.

So, we cannot find roots to the given equation.

Therefore, given equation does not contain any roots.