Whakaoti i te x^2+6=32

$$x ^ { 2 } + 6 = 32$$

Whakaoti mō x

$$x=\sqrt{26}\approx 5.099019514$$

$$x=-\sqrt{26}\approx -5.099019514$$

Ngā Upane mā te Kimi Pūtakerua

Tangohia te 6 mai i ngā taha e rua.

$$x^{2}=32-6$$

Tangohia te 6 i te 32, ka 26.

$$x^{2}=26$$

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

$$x=\sqrt{26} x=-\sqrt{26}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Tangohia te 32 mai i ngā taha e rua.

$$x^{2}+6-32=0$$

Tangohia te 32 i te 6, ka -26.

$$x^{2}-26=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -26 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-26\right)}}{2}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\left(-26\right)}}{2}$$

Whakareatia -4 ki te -26.

$$x=\frac{0±\sqrt{104}}{2}$$

Tuhia te pūtakerua o te 104.

$$x=\frac{0±2\sqrt{26}}{2}$$

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

$$x=\sqrt{26}$$

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

$$x=-\sqrt{26}$$

Kua oti te whārite te whakatau.

$$x=\sqrt{26} x=-\sqrt{26}$$