Whakaoti i te 175=x^2

$$175 = x ^ { 2 }$$

Whakaoti mō x

$$x=5\sqrt{7}\approx 13.228756555$$

$$x=-5\sqrt{7}\approx -13.228756555$$

Ngā Upane mā te Kimi Pūtakerua

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

$$x^{2}=175$$

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

$$x=5\sqrt{7} x=-5\sqrt{7}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

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

$$x^{2}=175$$

Tangohia te 175 mai i ngā taha e rua.

$$x^{2}-175=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -175 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-175\right)}}{2}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\left(-175\right)}}{2}$$

Whakareatia -4 ki te -175.

$$x=\frac{0±\sqrt{700}}{2}$$

Tuhia te pūtakerua o te 700.

$$x=\frac{0±10\sqrt{7}}{2}$$

Nā, me whakaoti te whārite x=\frac{0±10\sqrt{7}}{2} ina he tāpiri te ±.

$$x=5\sqrt{7}$$

Nā, me whakaoti te whārite x=\frac{0±10\sqrt{7}}{2} ina he tango te ±.

$$x=-5\sqrt{7}$$

Kua oti te whārite te whakatau.

$$x=5\sqrt{7} x=-5\sqrt{7}$$