Whakaoti i te alpha^2-0.8alpha+3.125beta=0

$$\alpha ^ { 2 } - 0.8 \alpha + 3.125 \beta = 0$$

Whakaoti mō β

$$\beta =-\frac{8\alpha \left(\alpha -0.8\right)}{25}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te \alpha ^{2} mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$-0.8\alpha +3.125\beta =-\alpha ^{2}$$

Me tāpiri te 0.8\alpha ki ngā taha e rua.

$$3.125\beta =-\alpha ^{2}+0.8\alpha$$

He hanga arowhānui tō te whārite.

$$3.125\beta =-\alpha ^{2}+\frac{4\alpha }{5}$$

Whakawehea ngā taha e rua o te whārite ki te 3.125, he ōrite ki te whakarea i ngā taha e rua ki te tau huripoki o te hautanga.

$$\frac{3.125\beta }{3.125}=\frac{\alpha \left(0.8-\alpha \right)}{3.125}$$

Mā te whakawehe ki te 3.125 ka wetekia te whakareanga ki te 3.125.

$$\beta =\frac{\alpha \left(0.8-\alpha \right)}{3.125}$$

Whakawehe \alpha \left(0.8-\alpha \right) ki te 3.125 mā te whakarea \alpha \left(0.8-\alpha \right) ki te tau huripoki o 3.125.

$$\beta =\frac{8\alpha \left(0.8-\alpha \right)}{25}$$

Whakaoti mō α

$$\alpha =\frac{\sqrt{-\frac{25\beta }{2}+0.64}}{2}+0.4$$

$$\alpha =-\frac{\sqrt{-\frac{25\beta }{2}+0.64}}{2}+0.4\text{, }\beta \leq 0.0512$$