$\sqrt{\10x^3}$ =100
You asked:
Solve the equation \(\sqrt{10 \cdot {x}^{3}} = 100\) for the variable \(x\).
MathBot Answer:
The 3 solutions to the equation are: \[\begin{aligned}x &= 10\\x &= -5 - 5 \sqrt{3} i = -5 -8.660254 i\\x &= -5 + 5 \sqrt{3} i = -5 + 8.660254 i\end{aligned}\]
\(i\) is the imaginary unit, defined as \(i^2 = -1\).