Whakaoti i te 5^2+7^2=c^2

$$5 ^ { 2 } + 7 ^ { 2 } = c ^ { 2 }$$

Whakaoti mō c

$$c=\sqrt{74}\approx 8.602325267$$

$$c=-\sqrt{74}\approx -8.602325267$$

Ngā Upane mā te Kimi Pūtakerua

Tātaihia te 5 mā te pū o 2, kia riro ko 25.

$$25+7^{2}=c^{2}$$

Tātaihia te 7 mā te pū o 2, kia riro ko 49.

$$25+49=c^{2}$$

Tāpirihia te 25 ki te 49, ka 74.

$$74=c^{2}$$

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

$$c^{2}=74$$

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

$$c=\sqrt{74} c=-\sqrt{74}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Tātaihia te 5 mā te pū o 2, kia riro ko 25.

$$25+7^{2}=c^{2}$$

Tātaihia te 7 mā te pū o 2, kia riro ko 49.

$$25+49=c^{2}$$

Tāpirihia te 25 ki te 49, ka 74.

$$74=c^{2}$$

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

$$c^{2}=74$$

Tangohia te 74 mai i ngā taha e rua.

$$c^{2}-74=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -74 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$c=\frac{0±\sqrt{0^{2}-4\left(-74\right)}}{2}$$

Pūrua 0.

$$c=\frac{0±\sqrt{-4\left(-74\right)}}{2}$$

Whakareatia -4 ki te -74.

$$c=\frac{0±\sqrt{296}}{2}$$

Tuhia te pūtakerua o te 296.

$$c=\frac{0±2\sqrt{74}}{2}$$

Nā, me whakaoti te whārite c=\frac{0±2\sqrt{74}}{2} ina he tāpiri te ±.

$$c=\sqrt{74}$$

Nā, me whakaoti te whārite c=\frac{0±2\sqrt{74}}{2} ina he tango te ±.

$$c=-\sqrt{74}$$

Kua oti te whārite te whakatau.

$$c=\sqrt{74} c=-\sqrt{74}$$