Whakaoti i te x^2+8=75

$${ x }^{ 2 } +8=75$$

Whakaoti mō x

$$x=\sqrt{67}\approx 8.185352772$$

$$x=-\sqrt{67}\approx -8.185352772$$

Ngā Upane mā te Kimi Pūtakerua

Tangohia te 8 mai i ngā taha e rua.

$$x^{2}=75-8$$

Tangohia te 8 i te 75, ka 67.

$$x^{2}=67$$

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

$$x=\sqrt{67} x=-\sqrt{67}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Tangohia te 75 mai i ngā taha e rua.

$$x^{2}+8-75=0$$

Tangohia te 75 i te 8, ka -67.

$$x^{2}-67=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -67 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-67\right)}}{2}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\left(-67\right)}}{2}$$

Whakareatia -4 ki te -67.

$$x=\frac{0±\sqrt{268}}{2}$$

Tuhia te pūtakerua o te 268.

$$x=\frac{0±2\sqrt{67}}{2}$$

Nā, me whakaoti te whārite x=\frac{0±2\sqrt{67}}{2} ina he tāpiri te ±.

$$x=\sqrt{67}$$

Nā, me whakaoti te whārite x=\frac{0±2\sqrt{67}}{2} ina he tango te ±.

$$x=-\sqrt{67}$$

Kua oti te whārite te whakatau.

$$x=\sqrt{67} x=-\sqrt{67}$$