Whakaoti i te m^2+300-444=0

$$m ^ { 2 } + 300 - 444 = 0$$

Whakaoti mō m

$$m=12$$

$$m=-12$$

Ngā Hipanga Whakamahi Rerekētanga o ngā Pūrua

Tangohia te 444 i te 300, ka -144.

$$m^{2}-144=0$$

Whakaarohia te m^{2}-144. Tuhia anō te m^{2}-144 hei m^{2}-12^{2}. Ka taea te rerekētanga o ngā pūrua te whakatauwehe mā te ture: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

$$\left(m-12\right)\left(m+12\right)=0$$

Hei kimi otinga whārite, me whakaoti te m-12=0 me te m+12=0.

$$m=12 m=-12$$

Ngā Upane mā te Kimi Pūtakerua

Tangohia te 444 i te 300, ka -144.

$$m^{2}-144=0$$

Me tāpiri te 144 ki ngā taha e rua. Ko te tau i tāpiria he kore ka hua koia tonu.

$$m^{2}=144$$

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

$$m=12 m=-12$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Tangohia te 444 i te 300, ka -144.

$$m^{2}-144=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -144 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$m=\frac{0±\sqrt{0^{2}-4\left(-144\right)}}{2}$$

Pūrua 0.

$$m=\frac{0±\sqrt{-4\left(-144\right)}}{2}$$

Whakareatia -4 ki te -144.

$$m=\frac{0±\sqrt{576}}{2}$$

Tuhia te pūtakerua o te 576.

$$m=\frac{0±24}{2}$$

Nā, me whakaoti te whārite m=\frac{0±24}{2} ina he tāpiri te ±. Whakawehe 24 ki te 2.

$$m=12$$

Nā, me whakaoti te whārite m=\frac{0±24}{2} ina he tango te ±. Whakawehe -24 ki te 2.

$$m=-12$$

Kua oti te whārite te whakatau.

$$m=12 m=-12$$