Issolvi ty^2-48y+18=9

$$t y ^ { 2 } - 48 y + 18 = 9$$

Solvi għal t

$$t=-\frac{3\left(3-16y\right)}{y^{2}}$$

$$y\neq 0$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Żid 48y maż-żewġ naħat.

$$ty^{2}+18=9+48y$$

Naqqas 18 miż-żewġ naħat.

$$ty^{2}=9+48y-18$$

Naqqas 18 minn 9 biex tikseb -9.

$$ty^{2}=-9+48y$$

L-ekwazzjoni hija f'forma standard.

$$y^{2}t=48y-9$$

Iddividi ż-żewġ naħat b'y^{2}.

$$\frac{y^{2}t}{y^{2}}=\frac{48y-9}{y^{2}}$$

Meta tiddividi b'y^{2} titneħħa l-multiplikazzjoni b'y^{2}.

$$t=\frac{48y-9}{y^{2}}$$

Iddividi -9+48y b'y^{2}.

$$t=\frac{3\left(16y-3\right)}{y^{2}}$$

Solvi għal y (complex solution)

$$\left\{\begin{matrix}y=\frac{3\left(\sqrt{64-t}+8\right)}{t}\text{; }y=\frac{3\left(-\sqrt{64-t}+8\right)}{t}\text{, }&t\neq 0\\y=\frac{3}{16}\text{, }&t=0\end{matrix}\right.$$

Solvi għal y

$$\left\{\begin{matrix}y=\frac{3\left(\sqrt{64-t}+8\right)}{t}\text{; }y=\frac{3\left(-\sqrt{64-t}+8\right)}{t}\text{, }&t\neq 0\text{ and }t\leq 64\\y=\frac{3}{16}\text{, }&t=0\end{matrix}\right.$$