Whakaoti i te 77=3.14*x*x

$$77=3.14 \times x \times x$$

Whakaoti mō x

$$x = \frac{5 \sqrt{24178}}{157} \approx 4.951998889$$

$$x = -\frac{5 \sqrt{24178}}{157} \approx -4.951998889$$

Ngā Upane mā te Kimi Pūtakerua

Whakareatia te x ki te x, ka x^{2}.

$$77=3.14x^{2}$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$3.14x^{2}=77$$

Whakawehea ngā taha e rua ki te 3.14.

$$x^{2}=\frac{77}{3.14}$$

Whakarohaina te \frac{77}{3.14} mā te whakarea i te taurunga me te tauraro ki te 100.

$$x^{2}=\frac{7700}{314}$$

Whakahekea te hautanga \frac{7700}{314} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$x^{2}=\frac{3850}{157}$$

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

$$x=\frac{5\sqrt{24178}}{157} x=-\frac{5\sqrt{24178}}{157}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Whakareatia te x ki te x, ka x^{2}.

$$77=3.14x^{2}$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$3.14x^{2}=77$$

Tangohia te 77 mai i ngā taha e rua.

$$3.14x^{2}-77=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 3.14 mō a, 0 mō b, me -77 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 3.14\left(-77\right)}}{2\times 3.14}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 3.14\left(-77\right)}}{2\times 3.14}$$

Whakareatia -4 ki te 3.14.

$$x=\frac{0±\sqrt{-12.56\left(-77\right)}}{2\times 3.14}$$

Whakareatia -12.56 ki te -77.

$$x=\frac{0±\sqrt{967.12}}{2\times 3.14}$$

Tuhia te pūtakerua o te 967.12.

$$x=\frac{0±\frac{\sqrt{24178}}{5}}{2\times 3.14}$$

Whakareatia 2 ki te 3.14.

$$x=\frac{0±\frac{\sqrt{24178}}{5}}{6.28}$$

Nā, me whakaoti te whārite x=\frac{0±\frac{\sqrt{24178}}{5}}{6.28} ina he tāpiri te ±.

$$x=\frac{5\sqrt{24178}}{157}$$

Nā, me whakaoti te whārite x=\frac{0±\frac{\sqrt{24178}}{5}}{6.28} ina he tango te ±.

$$x=-\frac{5\sqrt{24178}}{157}$$

Kua oti te whārite te whakatau.

$$x=\frac{5\sqrt{24178}}{157} x=-\frac{5\sqrt{24178}}{157}$$