Whakaoti i te t=0.63845t^2

$$t = 0.63845 t ^ { 2 }$$

Whakaoti mō t

$$t = \frac{20000}{12769} = 1\frac{7231}{12769} \approx 1.566293367$$

$$t=0$$

Ngā Upane Whakamahi Tauwehe

Tangohia te 0.63845t^{2} mai i ngā taha e rua.

$$t-0.63845t^{2}=0$$

Tauwehea te t.

$$t\left(1-0.63845t\right)=0$$

Hei kimi otinga whārite, me whakaoti te t=0 me te 1-\frac{12769t}{20000}=0.

$$t=0 t=\frac{20000}{12769}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Tangohia te 0.63845t^{2} mai i ngā taha e rua.

$$t-0.63845t^{2}=0$$

Ko ngā whārite katoa o te āhua ax^{2}+bx+c=0 ka taea te whakaoti mā te whakamahi i te tikanga tātai pūrua: \frac{-b±\sqrt{b^{2}-4ac}}{2a}. E rua ngā otinga ka puta i te tikanga tātai pūrua, ko tētahi ina he tāpiri a ±, ā, ko tētahi ina he tango.

$$-0.63845t^{2}+t=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi -0.63845 mō a, 1 mō b, me 0 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$t=\frac{-1±\sqrt{1^{2}}}{2\left(-0.63845\right)}$$

Tuhia te pūtakerua o te 1^{2}.

$$t=\frac{-1±1}{2\left(-0.63845\right)}$$

Whakareatia 2 ki te -0.63845.

$$t=\frac{-1±1}{-1.2769}$$

Nā, me whakaoti te whārite t=\frac{-1±1}{-1.2769} ina he tāpiri te ±. Tāpiri -1 ki te 1.

$$t=\frac{0}{-1.2769}$$

Whakawehe 0 ki te -1.2769 mā te whakarea 0 ki te tau huripoki o -1.2769.

$$t=0$$

Nā, me whakaoti te whārite t=\frac{-1±1}{-1.2769} ina he tango te ±. Tango 1 mai i -1.

$$t=-\frac{2}{-1.2769}$$

Whakawehe -2 ki te -1.2769 mā te whakarea -2 ki te tau huripoki o -1.2769.

$$t=\frac{20000}{12769}$$

Kua oti te whārite te whakatau.

$$t=0 t=\frac{20000}{12769}$$

Ngā Upane mō te Whakaoti i te Pūrua

Tangohia te 0.63845t^{2} mai i ngā taha e rua.

$$t-0.63845t^{2}=0$$

Ko ngā whārite pūrua pēnei i tēnei nā ka taea te whakaoti mā te whakaoti i te pūrua. Hei whakaoti i te pūrua, ko te whārite me mātua tuhi ki te āhua x^{2}+bx=c.

$$-0.63845t^{2}+t=0$$

Whakawehea ngā taha e rua o te whārite ki te -0.63845, he ōrite ki te whakarea i ngā taha e rua ki te tau huripoki o te hautanga.

$$\frac{-0.63845t^{2}+t}{-0.63845}=\frac{0}{-0.63845}$$

Mā te whakawehe ki te -0.63845 ka wetekia te whakareanga ki te -0.63845.

$$t^{2}+\frac{1}{-0.63845}t=\frac{0}{-0.63845}$$

Whakawehe 1 ki te -0.63845 mā te whakarea 1 ki te tau huripoki o -0.63845.

$$t^{2}-\frac{20000}{12769}t=\frac{0}{-0.63845}$$

Whakawehe 0 ki te -0.63845 mā te whakarea 0 ki te tau huripoki o -0.63845.

$$t^{2}-\frac{20000}{12769}t=0$$

Whakawehea te -\frac{20000}{12769}, te tau whakarea o te kīanga tau x, ki te 2 kia riro ai te -\frac{10000}{12769}. Nā, tāpiria te pūrua o te -\frac{10000}{12769} ki ngā taha e rua o te whārite. Mā konei e pūrua tika tonu ai te taha mauī o te whārite.

$$t^{2}-\frac{20000}{12769}t+\left(-\frac{10000}{12769}\right)^{2}=\left(-\frac{10000}{12769}\right)^{2}$$

Pūruatia -\frac{10000}{12769} mā te pūrua i te taurunga me te tauraro o te hautanga.

$$t^{2}-\frac{20000}{12769}t+\frac{100000000}{163047361}=\frac{100000000}{163047361}$$

Tauwehea t^{2}-\frac{20000}{12769}t+\frac{100000000}{163047361}. Ko te tikanga pūnoa, ina ko x^{2}+bx+c he pūrua tika pūrua tika pū, ka taea taua mea te tauwehea i ngā wā katoa hei \left(x+\frac{b}{2}\right)^{2}.

$$\left(t-\frac{10000}{12769}\right)^{2}=\frac{100000000}{163047361}$$

Tuhia te pūtakerua o ngā taha e rua o te whārite.

$$\sqrt{\left(t-\frac{10000}{12769}\right)^{2}}=\sqrt{\frac{100000000}{163047361}}$$

Whakarūnātia.

$$t-\frac{10000}{12769}=\frac{10000}{12769} t-\frac{10000}{12769}=-\frac{10000}{12769}$$

Me tāpiri \frac{10000}{12769} ki ngā taha e rua o te whārite.

$$t=\frac{20000}{12769} t=0$$