Whakaoti i te 114n^2-n

$$114 n ^ { 2 } - n$$

Tauwehe

$$n\left(114n-1\right)$$

Ngā Upane Otinga

Tauwehea te n.

$$n\left(114n-1\right)$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Ka taea te huamaha pūrua te tauwehe mā te whakamahi i te huringa ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right), ina ko x_{1} me x_{2} ngā otinga o te whārite pūrua ax^{2}+bx+c=0.

$$114n^{2}-n=0$$

Ko ngā whārite katoa o te āhua ax^{2}+bx+c=0 ka taea te whakaoti mā te whakamahi i te tikanga tātai pūrua: \frac{-b±\sqrt{b^{2}-4ac}}{2a}. E rua ngā otinga ka puta i te tikanga tātai pūrua, ko tētahi ina he tāpiri a ±, ā, ko tētahi ina he tango.

$$n=\frac{-\left(-1\right)±\sqrt{1}}{2\times 114}$$

Tuhia te pūtakerua o te 1.

$$n=\frac{-\left(-1\right)±1}{2\times 114}$$

Ko te tauaro o -1 ko 1.

$$n=\frac{1±1}{2\times 114}$$

Whakareatia 2 ki te 114.

$$n=\frac{1±1}{228}$$

Nā, me whakaoti te whārite n=\frac{1±1}{228} ina he tāpiri te ±. Tāpiri 1 ki te 1.

$$n=\frac{2}{228}$$

Whakahekea te hautanga \frac{2}{228} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$n=\frac{1}{114}$$

Nā, me whakaoti te whārite n=\frac{1±1}{228} ina he tango te ±. Tango 1 mai i 1.

$$n=\frac{0}{228}$$

Whakawehe 0 ki te 228.

$$n=0$$

Tauwehea te kīanga taketake mā te whakamahi i te ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right). Me whakakapi te \frac{1}{114} mō te x_{1} me te 0 mō te x_{2}.

$$114n^{2}-n=114\left(n-\frac{1}{114}\right)n$$

Tango \frac{1}{114} mai i n mā te kimi i te tauraro pātahi me te tango i ngā taurunga, ka whakaiti i te hautanga ki ngā kīanga tau iti rawa e taea ana.

$$114n^{2}-n=114\times \frac{114n-1}{114}n$$

Whakakorea atu te tauwehe pūnoa nui rawa 114 i roto i te 114 me te 114.

$$114n^{2}-n=\left(114n-1\right)n$$

Aromātai

$$n\left(114n-1\right)$$