Whakaoti i te n^2+8=80

$$n ^ { 2 } + 8 = 80$$

Whakaoti mō n

$$n=6\sqrt{2}\approx 8.485281374$$

$$n=-6\sqrt{2}\approx -8.485281374$$

Ngā Upane mā te Kimi Pūtakerua

Tangohia te 8 mai i ngā taha e rua.

$$n^{2}=80-8$$

Tangohia te 8 i te 80, ka 72.

$$n^{2}=72$$

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

$$n=6\sqrt{2} n=-6\sqrt{2}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Tangohia te 80 mai i ngā taha e rua.

$$n^{2}+8-80=0$$

Tangohia te 80 i te 8, ka -72.

$$n^{2}-72=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -72 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$n=\frac{0±\sqrt{0^{2}-4\left(-72\right)}}{2}$$

Pūrua 0.

$$n=\frac{0±\sqrt{-4\left(-72\right)}}{2}$$

Whakareatia -4 ki te -72.

$$n=\frac{0±\sqrt{288}}{2}$$

Tuhia te pūtakerua o te 288.

$$n=\frac{0±12\sqrt{2}}{2}$$

Nā, me whakaoti te whārite n=\frac{0±12\sqrt{2}}{2} ina he tāpiri te ±.

$$n=6\sqrt{2}$$

Nā, me whakaoti te whārite n=\frac{0±12\sqrt{2}}{2} ina he tango te ±.

$$n=-6\sqrt{2}$$

Kua oti te whārite te whakatau.

$$n=6\sqrt{2} n=-6\sqrt{2}$$