Whakaoti i te x^2+24^2=3^2

$$x ^ { 2 } + 24 ^ { 2 } = 3 ^ { 2 }$$

Whakaoti mō x (complex solution)

$$x=-9\sqrt{7}i\approx -0-23.8117618i$$

$$x=9\sqrt{7}i\approx 23.8117618i$$

Ngā Upane mā te Kimi Pūtakerua

Tātaihia te 24 mā te pū o 2, kia riro ko 576.

$$x^{2}+576=3^{2}$$

Tātaihia te 3 mā te pū o 2, kia riro ko 9.

$$x^{2}+576=9$$

Tangohia te 576 mai i ngā taha e rua.

$$x^{2}=9-576$$

Tangohia te 576 i te 9, ka -567.

$$x^{2}=-567$$

Kua oti te whārite te whakatau.

$$x=9\sqrt{7}i x=-9\sqrt{7}i$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Tātaihia te 24 mā te pū o 2, kia riro ko 576.

$$x^{2}+576=3^{2}$$

Tātaihia te 3 mā te pū o 2, kia riro ko 9.

$$x^{2}+576=9$$

Tangohia te 9 mai i ngā taha e rua.

$$x^{2}+576-9=0$$

Tangohia te 9 i te 576, ka 567.

$$x^{2}+567=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me 567 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 567}}{2}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 567}}{2}$$

Whakareatia -4 ki te 567.

$$x=\frac{0±\sqrt{-2268}}{2}$$

Tuhia te pūtakerua o te -2268.

$$x=\frac{0±18\sqrt{7}i}{2}$$

Nā, me whakaoti te whārite x=\frac{0±18\sqrt{7}i}{2} ina he tāpiri te ±.

$$x=9\sqrt{7}i$$

Nā, me whakaoti te whārite x=\frac{0±18\sqrt{7}i}{2} ina he tango te ±.

$$x=-9\sqrt{7}i$$

Kua oti te whārite te whakatau.

$$x=9\sqrt{7}i x=-9\sqrt{7}i$$