Question

Can someone please answer this..... I'm getting really confused. Please show your work.
${y}^{6} - {6y}^{3} + 9 - {z}^{4}$
Thank You! ​

Answer 1

Solution:

y^6 - 6y^3 + 9 - z^4

Rearrange the polynomials

y^6 - z^4 - 6y^3 + 9

Then simplify

(y^3 - z^2 - 3) (y^3 + z^2 - 3)


The roots of the equation y^6 - z^4 - 6y^3 + 9 can't be found, because it is multivariate.

Hope this will be helpful to you.