Whakaoti i te 96+323=33v^2/56

$$96 + 323 = \frac { 33 v ^ { 2 } } { 56 }$$

Whakaoti mō v

$$v = \frac{2 \sqrt{193578}}{33} \approx 26.665151472$$

$$v = -\frac{2 \sqrt{193578}}{33} \approx -26.665151472$$

Ngā Upane mā te Kimi Pūtakerua

Whakareatia ngā taha e rua o te whārite ki te 56.

$$5376+18088=33v^{2}$$

Tāpirihia te 5376 ki te 18088, ka 23464.

$$23464=33v^{2}$$

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

$$33v^{2}=23464$$

Whakawehea ngā taha e rua ki te 33.

$$v^{2}=\frac{23464}{33}$$

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

$$v=\frac{2\sqrt{193578}}{33} v=-\frac{2\sqrt{193578}}{33}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Whakareatia ngā taha e rua o te whārite ki te 56.

$$5376+18088=33v^{2}$$

Tāpirihia te 5376 ki te 18088, ka 23464.

$$23464=33v^{2}$$

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

$$33v^{2}=23464$$

Tangohia te 23464 mai i ngā taha e rua.

$$33v^{2}-23464=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 33 mō a, 0 mō b, me -23464 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$v=\frac{0±\sqrt{0^{2}-4\times 33\left(-23464\right)}}{2\times 33}$$

Pūrua 0.

$$v=\frac{0±\sqrt{-4\times 33\left(-23464\right)}}{2\times 33}$$

Whakareatia -4 ki te 33.

$$v=\frac{0±\sqrt{-132\left(-23464\right)}}{2\times 33}$$

Whakareatia -132 ki te -23464.

$$v=\frac{0±\sqrt{3097248}}{2\times 33}$$

Tuhia te pūtakerua o te 3097248.

$$v=\frac{0±4\sqrt{193578}}{2\times 33}$$

Whakareatia 2 ki te 33.

$$v=\frac{0±4\sqrt{193578}}{66}$$

Nā, me whakaoti te whārite v=\frac{0±4\sqrt{193578}}{66} ina he tāpiri te ±.

$$v=\frac{2\sqrt{193578}}{33}$$

Nā, me whakaoti te whārite v=\frac{0±4\sqrt{193578}}{66} ina he tango te ±.

$$v=-\frac{2\sqrt{193578}}{33}$$

Kua oti te whārite te whakatau.

$$v=\frac{2\sqrt{193578}}{33} v=-\frac{2\sqrt{193578}}{33}$$