Whakaoti i te 6^2+20^2=c^2

$$6 ^ { 2 } + 20 ^ { 2 } = c ^ { 2 }$$

Whakaoti mō c

$$c=2\sqrt{109}\approx 20.880613018$$

$$c=-2\sqrt{109}\approx -20.880613018$$

Ngā Upane mā te Kimi Pūtakerua

Tātaihia te 6 mā te pū o 2, kia riro ko 36.

$$36+20^{2}=c^{2}$$

Tātaihia te 20 mā te pū o 2, kia riro ko 400.

$$36+400=c^{2}$$

Tāpirihia te 36 ki te 400, ka 436.

$$436=c^{2}$$

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

$$c^{2}=436$$

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

$$c=2\sqrt{109} c=-2\sqrt{109}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Tātaihia te 6 mā te pū o 2, kia riro ko 36.

$$36+20^{2}=c^{2}$$

Tātaihia te 20 mā te pū o 2, kia riro ko 400.

$$36+400=c^{2}$$

Tāpirihia te 36 ki te 400, ka 436.

$$436=c^{2}$$

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

$$c^{2}=436$$

Tangohia te 436 mai i ngā taha e rua.

$$c^{2}-436=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -436 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$c=\frac{0±\sqrt{0^{2}-4\left(-436\right)}}{2}$$

Pūrua 0.

$$c=\frac{0±\sqrt{-4\left(-436\right)}}{2}$$

Whakareatia -4 ki te -436.

$$c=\frac{0±\sqrt{1744}}{2}$$

Tuhia te pūtakerua o te 1744.

$$c=\frac{0±4\sqrt{109}}{2}$$

Nā, me whakaoti te whārite c=\frac{0±4\sqrt{109}}{2} ina he tāpiri te ±.

$$c=2\sqrt{109}$$

Nā, me whakaoti te whārite c=\frac{0±4\sqrt{109}}{2} ina he tango te ±.

$$c=-2\sqrt{109}$$

Kua oti te whārite te whakatau.

$$c=2\sqrt{109} c=-2\sqrt{109}$$