Whakaoti i te x*x+6=7

$$x \times x + 6 = 7$$

Whakaoti mō x

$$x=1$$

$$x=-1$$

Ngā Upane mā te Kimi Pūtakerua

Whakareatia te x ki te x, ka x^{2}.

$$x^{2}+6=7$$

Tangohia te 6 mai i ngā taha e rua.

$$x^{2}=7-6$$

Tangohia te 6 i te 7, ka 1.

$$x^{2}=1$$

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

$$x=1 x=-1$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Whakareatia te x ki te x, ka x^{2}.

$$x^{2}+6=7$$

Tangohia te 7 mai i ngā taha e rua.

$$x^{2}+6-7=0$$

Tangohia te 7 i te 6, ka -1.

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

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

$$x=\frac{0±\sqrt{0^{2}-4\left(-1\right)}}{2}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\left(-1\right)}}{2}$$

Whakareatia -4 ki te -1.

$$x=\frac{0±\sqrt{4}}{2}$$

Tuhia te pūtakerua o te 4.

$$x=\frac{0±2}{2}$$

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

$$x=1$$

Nā, me whakaoti te whārite x=\frac{0±2}{2} ina he tango te ±. Whakawehe -2 ki te 2.

$$x=-1$$

Kua oti te whārite te whakatau.

$$x=1 x=-1$$