Whakaoti i te x^2-1/2=7

$$x ^ { 2 } - \frac { 1 } { 2 } = 7$$

Whakaoti mō x

$$x = \frac{\sqrt{30}}{2} \approx 2.738612788$$

$$x = -\frac{\sqrt{30}}{2} \approx -2.738612788$$

Ngā Upane mā te Kimi Pūtakerua

Me tāpiri te \frac{1}{2} ki ngā taha e rua.

$$x^{2}=7+\frac{1}{2}$$

Tāpirihia te 7 ki te \frac{1}{2}, ka \frac{15}{2}.

$$x^{2}=\frac{15}{2}$$

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

$$x=\frac{\sqrt{30}}{2} x=-\frac{\sqrt{30}}{2}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Tangohia te 7 mai i ngā taha e rua.

$$x^{2}-\frac{1}{2}-7=0$$

Tangohia te 7 i te -\frac{1}{2}, ka -\frac{15}{2}.

$$x^{2}-\frac{15}{2}=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -\frac{15}{2} mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-\frac{15}{2}\right)}}{2}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\left(-\frac{15}{2}\right)}}{2}$$

Whakareatia -4 ki te -\frac{15}{2}.

$$x=\frac{0±\sqrt{30}}{2}$$

Nā, me whakaoti te whārite x=\frac{0±\sqrt{30}}{2} ina he tāpiri te ±.

$$x=\frac{\sqrt{30}}{2}$$

Nā, me whakaoti te whārite x=\frac{0±\sqrt{30}}{2} ina he tango te ±.

$$x=-\frac{\sqrt{30}}{2}$$

Kua oti te whārite te whakatau.

$$x=\frac{\sqrt{30}}{2} x=-\frac{\sqrt{30}}{2}$$