x^3=8(600-x)^3
You asked:
Solve the equation \({x}^{3} = 8 {\left( 600 - x \right)}^{3}\) for the variable \(x\).
MathBot Answer:
The 3 solutions to the equation are: \[\begin{aligned}x &= 400\\x &= 600 - 200 \sqrt{3} i = 600 -346.41016 i\\x &= 600 + 200 \sqrt{3} i = 600 + 346.41016 i\end{aligned}\]
\(i\) is the imaginary unit, defined as \(i^2 = -1\).