If 3ax^3 = 50b^3 , whats the value of x?
You asked:
Solve the equation \(3 a {x}^{3} = 50 {b}^{3}\) for the variable \(x\).
MathBot Answer:
\(x \in \left\{\frac{3^{\frac{2}{3}} \cdot \sqrt[3]{50} b \sqrt[3]{\frac{1}{a}}}{3}, b \left(- \frac{3^{\frac{2}{3}} \cdot \sqrt[3]{50} \sqrt[3]{\frac{1}{a}}}{6} - \frac{\sqrt[6]{3} \cdot \sqrt[3]{50} i \sqrt[3]{\frac{1}{a}}}{2}\right), b \left(- \frac{3^{\frac{2}{3}} \cdot \sqrt[3]{50} \sqrt[3]{\frac{1}{a}}}{6} + \frac{\sqrt[6]{3} \cdot \sqrt[3]{50} i \sqrt[3]{\frac{1}{a}}}{2}\right)\right\}\)