Answer
$x=-1$ and $1.44$
Work Step by Step
Given equation-
$x^{6} - 2 x^{3} -3$ = $0$
We are asked to find all real solutions of this equation.
Graphing y= $x^{6} - 2 x^{3} -3$, using graphing calculator-
We get two x−intercepts, i.e. $x=-1$ and $x=1.44$
Therefore $x=-1$ and $1.44$