Whakaoti i te 6t^2=35-t^2

$$6 t ^ { 2 } = 35 - t ^ { 2 }$$

Whakaoti mō t

$$t=\sqrt{5}\approx 2.236067977$$

$$t=-\sqrt{5}\approx -2.236067977$$

Ngā Upane mā te Kimi Pūtakerua

Me tāpiri te t^{2} ki ngā taha e rua.

$$6t^{2}+t^{2}=35$$

Pahekotia te 6t^{2} me t^{2}, ka 7t^{2}.

$$7t^{2}=35$$

Whakawehea ngā taha e rua ki te 7.

$$t^{2}=\frac{35}{7}$$

Whakawehea te 35 ki te 7, kia riro ko 5.

$$t^{2}=5$$

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

$$t=\sqrt{5} t=-\sqrt{5}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Tangohia te 35 mai i ngā taha e rua.

$$6t^{2}-35=-t^{2}$$

Me tāpiri te t^{2} ki ngā taha e rua.

$$6t^{2}-35+t^{2}=0$$

Pahekotia te 6t^{2} me t^{2}, ka 7t^{2}.

$$7t^{2}-35=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 7 mō a, 0 mō b, me -35 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$t=\frac{0±\sqrt{0^{2}-4\times 7\left(-35\right)}}{2\times 7}$$

Pūrua 0.

$$t=\frac{0±\sqrt{-4\times 7\left(-35\right)}}{2\times 7}$$

Whakareatia -4 ki te 7.

$$t=\frac{0±\sqrt{-28\left(-35\right)}}{2\times 7}$$

Whakareatia -28 ki te -35.

$$t=\frac{0±\sqrt{980}}{2\times 7}$$

Tuhia te pūtakerua o te 980.

$$t=\frac{0±14\sqrt{5}}{2\times 7}$$

Whakareatia 2 ki te 7.

$$t=\frac{0±14\sqrt{5}}{14}$$

Nā, me whakaoti te whārite t=\frac{0±14\sqrt{5}}{14} ina he tāpiri te ±.

$$t=\sqrt{5}$$

Nā, me whakaoti te whārite t=\frac{0±14\sqrt{5}}{14} ina he tango te ±.

$$t=-\sqrt{5}$$

Kua oti te whārite te whakatau.

$$t=\sqrt{5} t=-\sqrt{5}$$