Answer
No real solution.
Work Step by Step
$7.08x^6+4.15x^3-9.6=0$
Let $x^3=a$.
$7.08a^2+4.15a-9.6=0$
Multiplying both sides by 100
$708a^2+415a-960=0$,
Using quadratic formula for the quadratic equation.
$a=\frac{-415\pm \sqrt{(415)^2-4(708)(906)}}{2\times708}=\frac{-415\pm\sqrt{-2546495}}{1416}$...
since we've a negative square root, the solution to the equation is of complex numbers, thus the equation has no real solution.
