Finding the roots refers to solving for the values of Y that make the equation Y^6+1 equal to 0. These values are called the roots or solutions of the equation.
Since Y^6+1 is a 6th degree polynomial, it will have 6 complex roots. However, some of these roots may be repeated or have a multiplicity greater than 1.
To find the roots of Y^6+1, you can use algebraic methods such as factoring, the quadratic formula, or the cubic formula. You can also use numerical methods such as graphing or using a calculator or computer program.
Yes, since Y^6+1 is a polynomial with an even degree and a positive leading coefficient, it will always have at least one real root. Additionally, since there is no term with an odd power of Y, there will not be any complex conjugate pairs of roots.
No, not all of the roots for Y^6+1 can be found exactly. Some roots may be irrational or complex numbers that cannot be expressed exactly as a decimal or fraction. In these cases, we can use approximate methods to find a decimal approximation for the root.