Whakaoti i te 5L^2-14L

$$5 L ^ { 2 } - 14 L$$

Tauwehe

$$L\left(5L-14\right)$$

Ngā Upane Otinga

Tauwehea te L.

$$L\left(5L-14\right)$$

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.

$$5L^{2}-14L=0$$

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.

$$L=\frac{-\left(-14\right)±\sqrt{\left(-14\right)^{2}}}{2\times 5}$$

Tuhia te pūtakerua o te \left(-14\right)^{2}.

$$L=\frac{-\left(-14\right)±14}{2\times 5}$$

Ko te tauaro o -14 ko 14.

$$L=\frac{14±14}{2\times 5}$$

Whakareatia 2 ki te 5.

$$L=\frac{14±14}{10}$$

Nā, me whakaoti te whārite L=\frac{14±14}{10} ina he tāpiri te ±. Tāpiri 14 ki te 14.

$$L=\frac{28}{10}$$

Whakahekea te hautanga \frac{28}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$L=\frac{14}{5}$$

Nā, me whakaoti te whārite L=\frac{14±14}{10} ina he tango te ±. Tango 14 mai i 14.

$$L=\frac{0}{10}$$

Whakawehe 0 ki te 10.

$$L=0$$

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{14}{5} mō te x_{1} me te 0 mō te x_{2}.

$$5L^{2}-14L=5\left(L-\frac{14}{5}\right)L$$

Tango \frac{14}{5} mai i L 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.

$$5L^{2}-14L=5\times \frac{5L-14}{5}L$$

Whakakorea atu te tauwehe pūnoa nui rawa 5 i roto i te 5 me te 5.

$$5L^{2}-14L=\left(5L-14\right)L$$

Aromātai

$$L\left(5L-14\right)$$