Whakaoti i te 1.69*4=x^2

$$1.69 \times 4 = x ^ { 2 }$$

Whakaoti mō x

$$x=2.6$$

$$x=-2.6$$

Ngā Hipanga Whakamahi Rerekētanga o ngā Pūrua

Whakareatia te 1.69 ki te 4, ka 6.76.

$$6.76=x^{2}$$

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

$$x^{2}=6.76$$

Tangohia te 6.76 mai i ngā taha e rua.

$$x^{2}-6.76=0$$

Whakaarohia te x^{2}-6.76. Tuhia anō te x^{2}-6.76 hei x^{2}-\left(\frac{13}{5}\right)^{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).

$$\left(x-\frac{13}{5}\right)\left(x+\frac{13}{5}\right)=0$$

Hei kimi otinga whārite, me whakaoti te x-\frac{13}{5}=0 me te x+\frac{13}{5}=0.

$$x=\frac{13}{5} x=-\frac{13}{5}$$

Ngā Upane mā te Kimi Pūtakerua

Whakareatia te 1.69 ki te 4, ka 6.76.

$$6.76=x^{2}$$

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

$$x^{2}=6.76$$

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

$$x=\frac{13}{5} x=-\frac{13}{5}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Whakareatia te 1.69 ki te 4, ka 6.76.

$$6.76=x^{2}$$

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

$$x^{2}=6.76$$

Tangohia te 6.76 mai i ngā taha e rua.

$$x^{2}-6.76=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -6.76 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-6.76\right)}}{2}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\left(-6.76\right)}}{2}$$

Whakareatia -4 ki te -6.76.

$$x=\frac{0±\sqrt{27.04}}{2}$$

Tuhia te pūtakerua o te 27.04.

$$x=\frac{0±\frac{26}{5}}{2}$$

Nā, me whakaoti te whārite x=\frac{0±\frac{26}{5}}{2} ina he tāpiri te ±.

$$x=\frac{13}{5}$$

Nā, me whakaoti te whārite x=\frac{0±\frac{26}{5}}{2} ina he tango te ±.

$$x=-\frac{13}{5}$$

Kua oti te whārite te whakatau.

$$x=\frac{13}{5} x=-\frac{13}{5}$$