Question

Find all real solutions of the equation exactly. x^4-3x^3-10=0

Answer 1

Factor:
\[(x-3)x ^{3}= 10\]
2 real and 2 imaginary solutions.
Real:
\[x \approx -1.32257, 3.28269\]

Answer 2

Are you sure it's \(x^4-3x^3-10=0\), because such a problem should be solved numerically, not analytically. It would too difficult to find exact solutions.

Answer 3

The problem is probably \(x^4-3x^2-10=0\), which can be easily solved by letting \(u=x^2\), and then use the quadratic formula to solve it. Don't forget to substitute back for x.