Whakaoti i te x^2+1=35

$$x ^ { 2 } + 1 = 35$$

Whakaoti mō x

$$x=\sqrt{34}\approx 5.830951895$$

$$x=-\sqrt{34}\approx -5.830951895$$

Ngā Upane mā te Kimi Pūtakerua

Tangohia te 1 mai i ngā taha e rua.

$$x^{2}=35-1$$

Tangohia te 1 i te 35, ka 34.

$$x^{2}=34$$

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

$$x=\sqrt{34} x=-\sqrt{34}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Tangohia te 35 mai i ngā taha e rua.

$$x^{2}+1-35=0$$

Tangohia te 35 i te 1, ka -34.

$$x^{2}-34=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -34 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-34\right)}}{2}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\left(-34\right)}}{2}$$

Whakareatia -4 ki te -34.

$$x=\frac{0±\sqrt{136}}{2}$$

Tuhia te pūtakerua o te 136.

$$x=\frac{0±2\sqrt{34}}{2}$$

Nā, me whakaoti te whārite x=\frac{0±2\sqrt{34}}{2} ina he tāpiri te ±.

$$x=\sqrt{34}$$

Nā, me whakaoti te whārite x=\frac{0±2\sqrt{34}}{2} ina he tango te ±.

$$x=-\sqrt{34}$$

Kua oti te whārite te whakatau.

$$x=\sqrt{34} x=-\sqrt{34}$$