If 3ax^3 = 50b^3 , whats the value of x?

asked by guest
on Jan 25, 2025 at 11:04 pm



MathBot Answer:

x∈{323⋅503b1a33,b(−323⋅5031a36−36⋅503i1a32),b(−323⋅5031a36+36⋅503i1a32)}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\}

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