Løs y=(x^3+7)divx

$$y=( { x }^{ 3+7 } ) \div x$$

Løs for y

$$y=x^{9}$$

$$x\neq 0$$

Løsningstrinn

Legg sammen 3 og 7 for å få 10.

$$y=\frac{x^{10}}{x}$$

Eliminer x i både teller og nevner.

$$y=x^{9}$$

Løs for x (complex solution)

$$x\in e^{\frac{2\pi i}{9}}\sqrt[9]{y},\sqrt[9]{y},e^{\frac{4\pi i}{9}}\sqrt[9]{y},e^{\frac{2\pi i}{3}}\sqrt[9]{y},e^{\frac{8\pi i}{9}}\sqrt[9]{y},e^{\frac{10\pi i}{9}}\sqrt[9]{y},e^{\frac{4\pi i}{3}}\sqrt[9]{y},e^{\frac{14\pi i}{9}}\sqrt[9]{y},e^{\frac{16\pi i}{9}}\sqrt[9]{y}$$

$$y\neq 0$$

Løs for x

$$x=\sqrt[9]{y}$$

$$y\neq 0$$