Whakaoti i te -3634=1111Deltat-49Deltat^2

$$- 3634 = 1111 \Delta t - 49 \Delta t ^ { 2 }$$

Whakaoti mō Δ

$$\Delta =-\frac{3634}{t\left(1111-49t\right)}$$

$$t\neq \frac{1111}{49}\text{ and }t\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$1111\Delta t-49\Delta t^{2}=-3634$$

Pahekotia ngā kīanga tau katoa e whai ana i te \Delta .

$$\left(1111t-49t^{2}\right)\Delta =-3634$$

Whakawehea ngā taha e rua ki te 1111t-49t^{2}.

$$\frac{\left(1111t-49t^{2}\right)\Delta }{1111t-49t^{2}}=-\frac{3634}{1111t-49t^{2}}$$

Mā te whakawehe ki te 1111t-49t^{2} ka wetekia te whakareanga ki te 1111t-49t^{2}.

$$\Delta =-\frac{3634}{1111t-49t^{2}}$$

Whakawehe -3634 ki te 1111t-49t^{2}.

$$\Delta =-\frac{3634}{t\left(1111-49t\right)}$$

Whakaoti mō t (complex solution)

$$t=\frac{\sqrt{1234321\Delta ^{2}+712264\Delta }}{98\Delta }+\frac{1111}{98}$$

$$t=-\frac{\sqrt{1234321\Delta ^{2}+712264\Delta }}{98\Delta }+\frac{1111}{98}\text{, }\Delta \neq 0$$

Whakaoti mō t

$$t=\frac{\sqrt{1234321\Delta ^{2}+712264\Delta }}{98\Delta }+\frac{1111}{98}$$

$$t=-\frac{\sqrt{1234321\Delta ^{2}+712264\Delta }}{98\Delta }+\frac{1111}{98}\text{, }\Delta >0\text{ or }\Delta \leq -\frac{712264}{1234321}$$