Whakaoti i te 100(08+x)(08+x)=1352

$$100(08+x)(08+x)=1352$$

Whakaoti mō x

$$x = \frac{13 \sqrt{2}}{5} \approx 3.676955262$$

$$x = -\frac{13 \sqrt{2}}{5} \approx -3.676955262$$

Ngā Upane mā te Kimi Pūtakerua

Whakareatia te 0\times 8+x ki te 0\times 8+x, ka \left(0\times 8+x\right)^{2}.

$$100\left(0\times 8+x\right)^{2}=1352$$

Whakareatia te 0 ki te 8, ka 0.

$$100\left(0+x\right)^{2}=1352$$

Ko te tau i tāpiria he kore ka hua koia tonu.

$$100x^{2}=1352$$

Whakawehea ngā taha e rua ki te 100.

$$x^{2}=\frac{1352}{100}$$

Whakahekea te hautanga \frac{1352}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$x^{2}=\frac{338}{25}$$

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

$$x=\frac{13\sqrt{2}}{5} x=-\frac{13\sqrt{2}}{5}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Whakareatia te 0\times 8+x ki te 0\times 8+x, ka \left(0\times 8+x\right)^{2}.

$$100\left(0\times 8+x\right)^{2}=1352$$

Whakareatia te 0 ki te 8, ka 0.

$$100\left(0+x\right)^{2}=1352$$

Ko te tau i tāpiria he kore ka hua koia tonu.

$$100x^{2}=1352$$

Tangohia te 1352 mai i ngā taha e rua.

$$100x^{2}-1352=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 100 mō a, 0 mō b, me -1352 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 100\left(-1352\right)}}{2\times 100}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 100\left(-1352\right)}}{2\times 100}$$

Whakareatia -4 ki te 100.

$$x=\frac{0±\sqrt{-400\left(-1352\right)}}{2\times 100}$$

Whakareatia -400 ki te -1352.

$$x=\frac{0±\sqrt{540800}}{2\times 100}$$

Tuhia te pūtakerua o te 540800.

$$x=\frac{0±520\sqrt{2}}{2\times 100}$$

Whakareatia 2 ki te 100.

$$x=\frac{0±520\sqrt{2}}{200}$$

Nā, me whakaoti te whārite x=\frac{0±520\sqrt{2}}{200} ina he tāpiri te ±.

$$x=\frac{13\sqrt{2}}{5}$$

Nā, me whakaoti te whārite x=\frac{0±520\sqrt{2}}{200} ina he tango te ±.

$$x=-\frac{13\sqrt{2}}{5}$$

Kua oti te whārite te whakatau.

$$x=\frac{13\sqrt{2}}{5} x=-\frac{13\sqrt{2}}{5}$$