Whakaoti i te 4x*x=100

$$4x \times x=100$$

Whakaoti mō x

$$x=5$$

$$x=-5$$

Ngā Upane mā te Kimi Pūtakerua

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

$$4x^{2}=100$$

Whakawehea ngā taha e rua ki te 4.

$$x^{2}=\frac{100}{4}$$

Whakawehea te 100 ki te 4, kia riro ko 25.

$$x^{2}=25$$

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

$$x=5 x=-5$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

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

$$4x^{2}=100$$

Tangohia te 100 mai i ngā taha e rua.

$$4x^{2}-100=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 4 mō a, 0 mō b, me -100 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 4\left(-100\right)}}{2\times 4}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 4\left(-100\right)}}{2\times 4}$$

Whakareatia -4 ki te 4.

$$x=\frac{0±\sqrt{-16\left(-100\right)}}{2\times 4}$$

Whakareatia -16 ki te -100.

$$x=\frac{0±\sqrt{1600}}{2\times 4}$$

Tuhia te pūtakerua o te 1600.

$$x=\frac{0±40}{2\times 4}$$

Whakareatia 2 ki te 4.

$$x=\frac{0±40}{8}$$

Nā, me whakaoti te whārite x=\frac{0±40}{8} ina he tāpiri te ±. Whakawehe 40 ki te 8.

$$x=5$$

Nā, me whakaoti te whārite x=\frac{0±40}{8} ina he tango te ±. Whakawehe -40 ki te 8.

$$x=-5$$

Kua oti te whārite te whakatau.

$$x=5 x=-5$$