Lahenda 4x^18-3y+5=1000

$$4 x ^ { 18 } - 3 y + 5 = 1000$$

Lahendage ja leidke y

$$y=\frac{4x^{18}-995}{3}$$

Juhised lineaarvõrrandi lahendamiseks

Lahutage mõlemast poolest 4x^{18}.

$$-3y+5=1000-4x^{18}$$

Lahutage mõlemast poolest 5.

$$-3y=1000-4x^{18}-5$$

Lahutage 5 väärtusest 1000, et leida 995.

$$-3y=995-4x^{18}$$

Jagage mõlemad pooled -3-ga.

$$\frac{-3y}{-3}=\frac{995-4x^{18}}{-3}$$

-3-ga jagamine võtab -3-ga korrutamise tagasi.

$$y=\frac{995-4x^{18}}{-3}$$

Jagage 995-4x^{18} väärtusega -3.

$$y=\frac{4x^{18}-995}{3}$$

Lahendage ja leidke x (complex solution)

$$x\in \frac{2^{\frac{8}{9}}e^{\frac{\pi i}{9}}\sqrt[18]{3y+995}}{2},\frac{2^{\frac{8}{9}}\sqrt[18]{3y+995}}{2},\frac{2^{\frac{8}{9}}e^{\frac{2\pi i}{9}}\sqrt[18]{3y+995}}{2},\frac{2^{\frac{8}{9}}e^{\frac{\pi i}{3}}\sqrt[18]{3y+995}}{2},\frac{2^{\frac{8}{9}}e^{\frac{4\pi i}{9}}\sqrt[18]{3y+995}}{2},\frac{2^{\frac{8}{9}}e^{\frac{5\pi i}{9}}\sqrt[18]{3y+995}}{2},\frac{2^{\frac{8}{9}}e^{\frac{2\pi i}{3}}\sqrt[18]{3y+995}}{2},\frac{2^{\frac{8}{9}}e^{\frac{7\pi i}{9}}\sqrt[18]{3y+995}}{2},\frac{2^{\frac{8}{9}}e^{\frac{8\pi i}{9}}\sqrt[18]{3y+995}}{2},-\frac{2^{\frac{8}{9}}\sqrt[18]{3y+995}}{2},\frac{2^{\frac{8}{9}}e^{\frac{10\pi i}{9}}\sqrt[18]{3y+995}}{2},\frac{2^{\frac{8}{9}}e^{\frac{11\pi i}{9}}\sqrt[18]{3y+995}}{2},\frac{2^{\frac{8}{9}}e^{\frac{4\pi i}{3}}\sqrt[18]{3y+995}}{2},\frac{2^{\frac{8}{9}}e^{\frac{13\pi i}{9}}\sqrt[18]{3y+995}}{2},\frac{2^{\frac{8}{9}}e^{\frac{14\pi i}{9}}\sqrt[18]{3y+995}}{2},\frac{2^{\frac{8}{9}}e^{\frac{5\pi i}{3}}\sqrt[18]{3y+995}}{2},\frac{2^{\frac{8}{9}}e^{\frac{16\pi i}{9}}\sqrt[18]{3y+995}}{2},\frac{2^{\frac{8}{9}}e^{\frac{17\pi i}{9}}\sqrt[18]{3y+995}}{2}$$

Lahendage ja leidke x

$$x=\frac{2^{\frac{8}{9}}\sqrt[18]{3y+995}}{2}$$

$$x=-\frac{2^{\frac{8}{9}}\sqrt[18]{3y+995}}{2}\text{, }y\geq -\frac{995}{3}$$