Whakaoti i te a^2=4a

$$a ^ { 2 } = 4 a$$

Whakaoti mō a

$$a=4$$

$$a=0$$

Ngā Upane Whakamahi Tauwehe

Tangohia te 4a mai i ngā taha e rua.

$$a^{2}-4a=0$$

Tauwehea te a.

$$a\left(a-4\right)=0$$

Hei kimi otinga whārite, me whakaoti te a=0 me te a-4=0.

$$a=0 a=4$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Tangohia te 4a mai i ngā taha e rua.

$$a^{2}-4a=0$$

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

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

Tuhia te pūtakerua o te \left(-4\right)^{2}.

$$a=\frac{-\left(-4\right)±4}{2}$$

Ko te tauaro o -4 ko 4.

$$a=\frac{4±4}{2}$$

Nā, me whakaoti te whārite a=\frac{4±4}{2} ina he tāpiri te ±. Tāpiri 4 ki te 4.

$$a=\frac{8}{2}$$

Whakawehe 8 ki te 2.

$$a=4$$

Nā, me whakaoti te whārite a=\frac{4±4}{2} ina he tango te ±. Tango 4 mai i 4.

$$a=\frac{0}{2}$$

Whakawehe 0 ki te 2.

$$a=0$$

Kua oti te whārite te whakatau.

$$a=4 a=0$$

Ngā Upane mō te Whakaoti i te Pūrua

Tangohia te 4a mai i ngā taha e rua.

$$a^{2}-4a=0$$

Whakawehea te -4, te tau whakarea o te kīanga tau x, ki te 2 kia riro ai te -2. Nā, tāpiria te pūrua o te -2 ki ngā taha e rua o te whārite. Mā konei e pūrua tika tonu ai te taha mauī o te whārite.

$$a^{2}-4a+\left(-2\right)^{2}=\left(-2\right)^{2}$$

Pūrua -2.

$$a^{2}-4a+4=4$$

Tauwehea a^{2}-4a+4. 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}.

$$\left(a-2\right)^{2}=4$$

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

$$\sqrt{\left(a-2\right)^{2}}=\sqrt{4}$$

Whakarūnātia.

$$a-2=2 a-2=-2$$

Me tāpiri 2 ki ngā taha e rua o te whārite.

$$a=4 a=0$$