Whakaoti i te 49x^2-24x

$$49 x ^ { 2 } - 24 x$$

Tauwehe

$$x\left(49x-24\right)$$

Ngā Upane Otinga

Tauwehea te x.

$$x\left(49x-24\right)$$

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.

$$49x^{2}-24x=0$$

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.

$$x=\frac{-\left(-24\right)±\sqrt{\left(-24\right)^{2}}}{2\times 49}$$

Tuhia te pūtakerua o te \left(-24\right)^{2}.

$$x=\frac{-\left(-24\right)±24}{2\times 49}$$

Ko te tauaro o -24 ko 24.

$$x=\frac{24±24}{2\times 49}$$

Whakareatia 2 ki te 49.

$$x=\frac{24±24}{98}$$

Nā, me whakaoti te whārite x=\frac{24±24}{98} ina he tāpiri te ±. Tāpiri 24 ki te 24.

$$x=\frac{48}{98}$$

Whakahekea te hautanga \frac{48}{98} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$x=\frac{24}{49}$$

Nā, me whakaoti te whārite x=\frac{24±24}{98} ina he tango te ±. Tango 24 mai i 24.

$$x=\frac{0}{98}$$

Whakawehe 0 ki te 98.

$$x=0$$

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{24}{49} mō te x_{1} me te 0 mō te x_{2}.

$$49x^{2}-24x=49\left(x-\frac{24}{49}\right)x$$

Tango \frac{24}{49} mai i x 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.

$$49x^{2}-24x=49\times \frac{49x-24}{49}x$$

Whakakorea atu te tauwehe pūnoa nui rawa 49 i roto i te 49 me te 49.

$$49x^{2}-24x=\left(49x-24\right)x$$

Aromātai

$$x\left(49x-24\right)$$