Whakaoti i te 7m^2-2m=0

$$7 m ^ { 2 } - 2 m = 0$$

Whakaoti mō m

$$m=\frac{2}{7}\approx 0.285714286$$

$$m=0$$

Ngā Upane Whakamahi Tauwehe

Tauwehea te m.

$$m\left(7m-2\right)=0$$

Hei kimi otinga whārite, me whakaoti te m=0 me te 7m-2=0.

$$m=0 m=\frac{2}{7}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

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.

$$7m^{2}-2m=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 7 mō a, -2 mō b, me 0 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$m=\frac{-\left(-2\right)±\sqrt{\left(-2\right)^{2}}}{2\times 7}$$

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

$$m=\frac{-\left(-2\right)±2}{2\times 7}$$

Ko te tauaro o -2 ko 2.

$$m=\frac{2±2}{2\times 7}$$

Whakareatia 2 ki te 7.

$$m=\frac{2±2}{14}$$

Nā, me whakaoti te whārite m=\frac{2±2}{14} ina he tāpiri te ±. Tāpiri 2 ki te 2.

$$m=\frac{4}{14}$$

Whakahekea te hautanga \frac{4}{14} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$m=\frac{2}{7}$$

Nā, me whakaoti te whārite m=\frac{2±2}{14} ina he tango te ±. Tango 2 mai i 2.

$$m=\frac{0}{14}$$

Whakawehe 0 ki te 14.

$$m=0$$

Kua oti te whārite te whakatau.

$$m=\frac{2}{7} m=0$$

Ngā Upane mō te Whakaoti i te Pūrua

Ko ngā whārite pūrua pēnei i tēnei nā ka taea te whakaoti mā te whakaoti i te pūrua. Hei whakaoti i te pūrua, ko te whārite me mātua tuhi ki te āhua x^{2}+bx=c.

$$7m^{2}-2m=0$$

Whakawehea ngā taha e rua ki te 7.

$$\frac{7m^{2}-2m}{7}=\frac{0}{7}$$

Mā te whakawehe ki te 7 ka wetekia te whakareanga ki te 7.

$$m^{2}-\frac{2}{7}m=\frac{0}{7}$$

Whakawehe 0 ki te 7.

$$m^{2}-\frac{2}{7}m=0$$

Whakawehea te -\frac{2}{7}, te tau whakarea o te kīanga tau x, ki te 2 kia riro ai te -\frac{1}{7}. Nā, tāpiria te pūrua o te -\frac{1}{7} ki ngā taha e rua o te whārite. Mā konei e pūrua tika tonu ai te taha mauī o te whārite.

$$m^{2}-\frac{2}{7}m+\left(-\frac{1}{7}\right)^{2}=\left(-\frac{1}{7}\right)^{2}$$

Pūruatia -\frac{1}{7} mā te pūrua i te taurunga me te tauraro o te hautanga.

$$m^{2}-\frac{2}{7}m+\frac{1}{49}=\frac{1}{49}$$

Tauwehea m^{2}-\frac{2}{7}m+\frac{1}{49}. Ko te tikanga pūnoa, ina ko x^{2}+bx+c he pūrua tika pūrua tika pū, ka taea taua mea te tauwehea i ngā wā katoa hei \left(x+\frac{b}{2}\right)^{2}.

$$\left(m-\frac{1}{7}\right)^{2}=\frac{1}{49}$$

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

$$\sqrt{\left(m-\frac{1}{7}\right)^{2}}=\sqrt{\frac{1}{49}}$$

Whakarūnātia.

$$m-\frac{1}{7}=\frac{1}{7} m-\frac{1}{7}=-\frac{1}{7}$$

Me tāpiri \frac{1}{7} ki ngā taha e rua o te whārite.

$$m=\frac{2}{7} m=0$$