Whakaoti i te x^2=729/4

$$x ^ { 2 } = \frac { 729 } { 4 }$$

Whakaoti mō x

$$x = \frac{27}{2} = 13\frac{1}{2} = 13.5$$

$$x = -\frac{27}{2} = -13\frac{1}{2} = -13.5$$

Ngā Hipanga Whakamahi Rerekētanga o ngā Pūrua

Tangohia te \frac{729}{4} mai i ngā taha e rua.

$$x^{2}-\frac{729}{4}=0$$

Me whakarea ngā taha e rua ki te 4.

$$4x^{2}-729=0$$

Whakaarohia te 4x^{2}-729. Tuhia anō te 4x^{2}-729 hei \left(2x\right)^{2}-27^{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).

$$\left(2x-27\right)\left(2x+27\right)=0$$

Hei kimi otinga whārite, me whakaoti te 2x-27=0 me te 2x+27=0.

$$x=\frac{27}{2} x=-\frac{27}{2}$$

Ngā Upane mā te Kimi Pūtakerua

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

$$x=\frac{27}{2} x=-\frac{27}{2}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Tangohia te \frac{729}{4} mai i ngā taha e rua.

$$x^{2}-\frac{729}{4}=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -\frac{729}{4} mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-\frac{729}{4}\right)}}{2}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\left(-\frac{729}{4}\right)}}{2}$$

Whakareatia -4 ki te -\frac{729}{4}.

$$x=\frac{0±\sqrt{729}}{2}$$

Tuhia te pūtakerua o te 729.

$$x=\frac{0±27}{2}$$

Nā, me whakaoti te whārite x=\frac{0±27}{2} ina he tāpiri te ±. Whakawehe 27 ki te 2.

$$x=\frac{27}{2}$$

Nā, me whakaoti te whārite x=\frac{0±27}{2} ina he tango te ±. Whakawehe -27 ki te 2.

$$x=-\frac{27}{2}$$

Kua oti te whārite te whakatau.

$$x=\frac{27}{2} x=-\frac{27}{2}$$