Resolver x=42y*y^3

$$x = 42 y * y ^ { 3 }$$

Resolver x

$$x=42y^{4}$$

Pasos da solución

Para multiplicar potencias da mesma base, suma os seus expoñentes. Suma 1 e 3 para obter 4.

$$x=42y^{4}$$

Resolver y (complex solution)

$$y=\frac{42^{\frac{3}{4}}i\sqrt[4]{x}}{42}$$

$$y=\frac{42^{\frac{3}{4}}\sqrt[4]{x}}{42}$$

$$y=-\frac{42^{\frac{3}{4}}\sqrt[4]{x}}{42}$$

$$y=-\frac{42^{\frac{3}{4}}i\sqrt[4]{x}}{42}$$

Resolver y

$$y=\frac{42^{\frac{3}{4}}\sqrt[4]{x}}{42}$$

$$y=-\frac{42^{\frac{3}{4}}\sqrt[4]{x}}{42}\text{, }x\geq 0$$