Resolver -3634=1111Deltat-49Deltat^2

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

Ebatzi: Δ

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

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

Ekuazio lineala ebazteko urratsak

Trukatu aldeak, aldagaiak ezkerraldean egon daitezen.

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

Konbinatu \Delta duten gai guztiak.

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

Zatitu ekuazioaren bi aldeak 1111t-49t^{2} balioarekin.

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

1111t-49t^{2} balioarekin zatituz gero, 1111t-49t^{2} balioarekiko biderketa desegiten da.

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

Zatitu -3634 balioa 1111t-49t^{2} balioarekin.

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

Ebatzi: t (complex solution)

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

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

Ebatzi: t

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

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