I've checked the answers and the factor of it is.
For the solution to be true
From what I know, via the answers.
Has no solutions because
Then there are no solutions.
So, is there no way to do this mentally or by hand? Assuming I am factorizing over irrational numbers.
Since linear factors involving integers are not possible, it's natural to then try to factor it as a product of two quadratics:
(x^2 + ax + b)(x^2 + cx + d)
and then see if you can find integer values of a, b, c and d.
I'm still stuck on this equation. I tried factorizing by identical equations but I end up with too many variables, is there really no way to factor this? I want to know how to factorize this.
(My attempt to factorize)
you might want to solve the system for and , thus recovering the factorized expression of the polynomial and solving it in the standard way.
However I don't know if it is possible to solve this system. You have four unknowns and four equations, but how to solve it I have no idea yet (haven't really looked). Try to work out some algebra around the system and see what you can do ?