Whakaoti i te a^2+4a=0001

$$a ^ { 2 } + 4 a = 0001$$

Whakaoti mō a

$$a=-4$$

$$a=0$$

Ngā Upane Whakamahi Tauwehe

Whakareatia te 0 ki te 0, ka 0.

$$a^{2}+4a=0\times 0\times 1$$

Whakareatia te 0 ki te 0, ka 0.

$$a^{2}+4a=0\times 1$$

Whakareatia te 0 ki te 1, ka 0.

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

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

Whakareatia te 0 ki te 0, ka 0.

$$a^{2}+4a=0\times 0\times 1$$

Whakareatia te 0 ki te 0, ka 0.

$$a^{2}+4a=0\times 1$$

Whakareatia te 0 ki te 1, ka 0.

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

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}.

$$a=\frac{-4±\sqrt{4^{2}}}{2}$$

Tuhia te pūtakerua o te 4^{2}.

$$a=\frac{-4±4}{2}$$

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

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

Whakawehe 0 ki te 2.

$$a=0$$

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

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

Whakawehe -8 ki te 2.

$$a=-4$$

Kua oti te whārite te whakatau.

$$a=0 a=-4$$

Ngā Upane mō te Whakaoti i te Pūrua

Whakareatia te 0 ki te 0, ka 0.

$$a^{2}+4a=0\times 0\times 1$$

Whakareatia te 0 ki te 0, ka 0.

$$a^{2}+4a=0\times 1$$

Whakareatia te 0 ki te 1, ka 0.

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

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.

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

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 tango 2 mai i ngā taha e rua o te whārite.

$$a=0 a=-4$$