Whakaoti i te 169*4=x^2

$$169 \times 4 = x ^ { 2 }$$

Whakaoti mō x

$$x=26$$

$$x=-26$$

Ngā Hipanga Whakamahi Rerekētanga o ngā Pūrua

Whakareatia te 169 ki te 4, ka 676.

$$676=x^{2}$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$x^{2}=676$$

Tangohia te 676 mai i ngā taha e rua.

$$x^{2}-676=0$$

Whakaarohia te x^{2}-676. Tuhia anō te x^{2}-676 hei x^{2}-26^{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).

$$\left(x-26\right)\left(x+26\right)=0$$

Hei kimi otinga whārite, me whakaoti te x-26=0 me te x+26=0.

$$x=26 x=-26$$

Ngā Upane mā te Kimi Pūtakerua

Whakareatia te 169 ki te 4, ka 676.

$$676=x^{2}$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$x^{2}=676$$

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

$$x=26 x=-26$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Whakareatia te 169 ki te 4, ka 676.

$$676=x^{2}$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$x^{2}=676$$

Tangohia te 676 mai i ngā taha e rua.

$$x^{2}-676=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -676 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-676\right)}}{2}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\left(-676\right)}}{2}$$

Whakareatia -4 ki te -676.

$$x=\frac{0±\sqrt{2704}}{2}$$

Tuhia te pūtakerua o te 2704.

$$x=\frac{0±52}{2}$$

Nā, me whakaoti te whārite x=\frac{0±52}{2} ina he tāpiri te ±. Whakawehe 52 ki te 2.

$$x=26$$

Nā, me whakaoti te whārite x=\frac{0±52}{2} ina he tango te ±. Whakawehe -52 ki te 2.

$$x=-26$$

Kua oti te whārite te whakatau.

$$x=26 x=-26$$