Whakaoti i te x*(xdiv5)=45

$$x \times (x \div 5)=45$$

Whakaoti mō x

$$x=15$$

$$x=-15$$

Ngā Upane mā te Kimi Pūtakerua

Whakareatia ngā taha e rua o te whārite ki te 5.

$$xx=225$$

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

$$x^{2}=225$$

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

$$x=15 x=-15$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Whakareatia ngā taha e rua o te whārite ki te 5.

$$xx=225$$

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

$$x^{2}=225$$

Tangohia te 225 mai i ngā taha e rua.

$$x^{2}-225=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -225 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-225\right)}}{2}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\left(-225\right)}}{2}$$

Whakareatia -4 ki te -225.

$$x=\frac{0±\sqrt{900}}{2}$$

Tuhia te pūtakerua o te 900.

$$x=\frac{0±30}{2}$$

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

$$x=15$$

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

$$x=-15$$

Kua oti te whārite te whakatau.

$$x=15 x=-15$$