Whakaoti i te 8-t=sqrt{5t^2+64-16t}

$$8 - t = \sqrt { 5 t ^ { 2 } + 64 - 16 t }$$

Whakaoti mō t

$$t=0$$

Ngā Upane Otinga

Pūruatia ngā taha e rua o te whārite.

$$\left(8-t\right)^{2}=\left(\sqrt{5t^{2}+64-16t}\right)^{2}$$

Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(8-t\right)^{2}.

$$64-16t+t^{2}=\left(\sqrt{5t^{2}+64-16t}\right)^{2}$$

Tātaihia te \sqrt{5t^{2}+64-16t} mā te pū o 2, kia riro ko 5t^{2}+64-16t.

$$64-16t+t^{2}=5t^{2}+64-16t$$

Tangohia te 5t^{2} mai i ngā taha e rua.

$$64-16t+t^{2}-5t^{2}=64-16t$$

Pahekotia te t^{2} me -5t^{2}, ka -4t^{2}.

$$64-16t-4t^{2}=64-16t$$

Me tāpiri te 16t ki ngā taha e rua.

$$64-16t-4t^{2}+16t=64$$

Pahekotia te -16t me 16t, ka 0.

$$64-4t^{2}=64$$

Tangohia te 64 mai i ngā taha e rua.

$$-4t^{2}=64-64$$

Tangohia te 64 i te 64, ka 0.

$$-4t^{2}=0$$

Whakawehea ngā taha e rua ki te -4. Ko te kore i whakawehea ki te tau ehara te kore ka hua ko te kore.

$$t^{2}=0$$

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

$$t=0 t=0$$

Kua oti te whārite te whakatau. He ōrite ngā whakatau.

$$t=0$$

Whakakapia te 0 mō te t i te whārite 8-t=\sqrt{5t^{2}+64-16t}.

$$8-0=\sqrt{5\times 0^{2}+64-16\times 0}$$

Whakarūnātia. Ko te uara t=0 kua ngata te whārite.

$$8=8$$

Ko te whārite 8-t=\sqrt{5t^{2}-16t+64} he rongoā ahurei.

$$t=0$$