Lahenda alphabeta^2=4

$$\alpha \beta ^ { 2 } = 4$$

Lahendage ja leidke α

$$\alpha =\frac{4}{\beta ^{2}}$$

$$\beta \neq 0$$

Juhised lineaarvõrrandi lahendamiseks

Võrrand on standardkujul.

$$\beta ^{2}\alpha =4$$

Jagage mõlemad pooled \beta ^{2}-ga.

$$\frac{\beta ^{2}\alpha }{\beta ^{2}}=\frac{4}{\beta ^{2}}$$

\beta ^{2}-ga jagamine võtab \beta ^{2}-ga korrutamise tagasi.

$$\alpha =\frac{4}{\beta ^{2}}$$

Lahendage ja leidke β (complex solution)

$$\beta =-2\alpha ^{-\frac{1}{2}}$$

$$\beta =2\alpha ^{-\frac{1}{2}}\text{, }\alpha \neq 0$$

Lahendage ja leidke β

$$\beta =\frac{2}{\sqrt{\alpha }}$$

$$\beta =-\frac{2}{\sqrt{\alpha }}\text{, }\alpha >0$$