What are the solutions of the equation x6 + 6x3 + 5 = 0? use factoring to solve.

Consider the equation .

First, you can use the substitution , then and equation becomes . This equation is quadratic, so

.

Then you can factor this equation:

.

Use the made substitution again:

.

You have in each brackets the expression like that is equal to . Thus,

and the equation is

.

Here and you can sheck whether quadratic trinomials have real roots:

1. .

2. .

This means that quadratic trinomials don't have real roots.

If you need complex roots, then

.

yes

step-by-step explanation:

they have to be opposite and reciprocal of eachother.