Réitigh 0.1p^2.8+125.87P+9075=0

$$0.1 { p }^{ 2.8 } +125.87P+9075 = 0$$

Réitigh do P.

$$P=\frac{-10p^{2.8}-907500}{12587}$$

Céimeanna chun Cothromóidí Líneacha a Réiteach

Bain 0.1p^{2.8} ón dá thaobh. Is ionann rud ar bith a dhealaítear ó nialas agus a shéanadh.

$$125.87P+9075=-0.1p^{2.8}$$

Bain 9075 ón dá thaobh.

$$125.87P=-0.1p^{2.8}-9075$$

Tá an chothromóid i bhfoirm chaighdeánach.

$$125.87P=-\frac{p^{2.8}}{10}-9075$$

Roinn an dá thaobh den chothromóid faoi 125.87, arb ionann é sin agus an dá thaobh a mhéadú faoi dheilín an chodáin.

$$\frac{125.87P}{125.87}=\frac{-\frac{p^{2.8}}{10}-9075}{125.87}$$

Má roinntear é faoi 125.87 cuirtear an iolrúchán faoi 125.87 ar ceal.

$$P=\frac{-\frac{p^{2.8}}{10}-9075}{125.87}$$

Roinn -\frac{p^{2.8}}{10}-9075 faoi 125.87 trí -\frac{p^{2.8}}{10}-9075 a mhéadú faoi dheilín 125.87.

$$P=\frac{-10p^{2.8}-907500}{12587}$$

Réitigh do p. (complex solution)

$$p=-\left(\frac{12587P}{10}+90750\right)^{5}$$

$$P=-\frac{907500}{12587}\text{ or }arg(-\left(\frac{12587P}{10}+90750\right))<\frac{2\pi }{5}$$

Réitigh do p.

$$p=\sqrt[14]{-\left(\frac{12587P}{10}+90750\right)^{5}}$$

$$p=-\sqrt[14]{-\left(\frac{12587P}{10}+90750\right)^{5}}\text{, }P\leq -\frac{907500}{12587}$$