Whakaoti i te a^2+2i^2=29^2

$$a ^ { 2 } + 2 i ^ { 2 } = 29 ^ { 2 }$$

Whakaoti mō a

$$a=-\sqrt{843}\approx -29.034462282$$

$$a=\sqrt{843}\approx 29.034462282$$

Ngā Upane mā te Kimi Pūtakerua

Tātaihia te i mā te pū o 2, kia riro ko -1.

$$a^{2}+2\left(-1\right)=29^{2}$$

Whakareatia te 2 ki te -1, ka -2.

$$a^{2}-2=29^{2}$$

Tātaihia te 29 mā te pū o 2, kia riro ko 841.

$$a^{2}-2=841$$

Me tāpiri te 2 ki ngā taha e rua.

$$a^{2}=841+2$$

Tāpirihia te 841 ki te 2, ka 843.

$$a^{2}=843$$

Kua oti te whārite te whakatau.

$$a=\sqrt{843} a=-\sqrt{843}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Tātaihia te i mā te pū o 2, kia riro ko -1.

$$a^{2}+2\left(-1\right)=29^{2}$$

Whakareatia te 2 ki te -1, ka -2.

$$a^{2}-2=29^{2}$$

Tātaihia te 29 mā te pū o 2, kia riro ko 841.

$$a^{2}-2=841$$

Tangohia te 841 mai i ngā taha e rua.

$$a^{2}-2-841=0$$

Tangohia te 841 i te -2, ka -843.

$$a^{2}-843=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -843 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$a=\frac{0±\sqrt{0^{2}-4\left(-843\right)}}{2}$$

Pūrua 0.

$$a=\frac{0±\sqrt{-4\left(-843\right)}}{2}$$

Whakareatia -4 ki te -843.

$$a=\frac{0±\sqrt{3372}}{2}$$

Tuhia te pūtakerua o te 3372.

$$a=\frac{0±2\sqrt{843}}{2}$$

Nā, me whakaoti te whārite a=\frac{0±2\sqrt{843}}{2} ina he tāpiri te ±.

$$a=\sqrt{843}$$

Nā, me whakaoti te whārite a=\frac{0±2\sqrt{843}}{2} ina he tango te ±.

$$a=-\sqrt{843}$$

Kua oti te whārite te whakatau.

$$a=\sqrt{843} a=-\sqrt{843}$$