Issolvi S=sqrt{30D*f*n}

$$S = \sqrt { 30 D \cdot f \cdot n }$$

Solvi għal D

$$\left\{\begin{matrix}D=\frac{S^{2}}{30fn}\text{, }&S\geq 0\text{ and }f\neq 0\text{ and }n\neq 0\\D\in \mathrm{R}\text{, }&\left(f=0\text{ or }n=0\right)\text{ and }S=0\end{matrix}\right.$$

Passi biex Issolvi l-Ekwazzjonijiet Radikali

Ibdel in-naħat sabiex it-termini varjabbli kollha jkunu fuq in-naħa tax-xellug.

$$\sqrt{30Dfn}=S$$

Ikkwadra ż-żewġ naħat tal-ekwazzjoni.

$$30fnD=S^{2}$$

Iddividi ż-żewġ naħat b'30fn.

$$\frac{30fnD}{30fn}=\frac{S^{2}}{30fn}$$

Meta tiddividi b'30fn titneħħa l-multiplikazzjoni b'30fn.

$$D=\frac{S^{2}}{30fn}$$

Solvi għal D (complex solution)

$$\left\{\begin{matrix}D=\frac{S^{2}}{30fn}\text{, }&n\neq 0\text{ and }f\neq 0\text{ and }\left(S=0\text{ or }arg(S)<\pi \right)\\D\in \mathrm{C}\text{, }&\left(f=0\text{ or }n=0\right)\text{ and }S=0\end{matrix}\right.$$

Solvi għal S (complex solution)

$$S=\sqrt{30Dfn}$$

Solvi għal S

$$S=\sqrt{30Dfn}$$

$$\left(n\leq 0\text{ and }f\leq 0\text{ and }D\geq 0\right)\text{ or }\left(f\geq 0\text{ and }n\geq 0\text{ and }D\geq 0\right)\text{ or }\left(D\leq 0\text{ and }f\leq 0\text{ and }n\geq 0\right)\text{ or }\left(D\leq 0\text{ and }n\leq 0\text{ and }f\geq 0\right)$$