Whakaoti i te (44)^2*0.01=0.02x^2

$$( 44 ) ^ { 2 } \times 0.01 = 0.02 x ^ { 2 }$$

Whakaoti mō x

$$x=22\sqrt{2}\approx 31.112698372$$

$$x=-22\sqrt{2}\approx -31.112698372$$

Ngā Upane mā te Kimi Pūtakerua

Tātaihia te 44 mā te pū o 2, kia riro ko 1936.

$$1936\times 0.01=0.02x^{2}$$

Whakareatia te 1936 ki te 0.01, ka 19.36.

$$19.36=0.02x^{2}$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$0.02x^{2}=19.36$$

Whakawehea ngā taha e rua ki te 0.02.

$$x^{2}=\frac{19.36}{0.02}$$

Whakarohaina te \frac{19.36}{0.02} mā te whakarea i te taurunga me te tauraro ki te 100.

$$x^{2}=\frac{1936}{2}$$

Whakawehea te 1936 ki te 2, kia riro ko 968.

$$x^{2}=968$$

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

$$x=22\sqrt{2} x=-22\sqrt{2}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Tātaihia te 44 mā te pū o 2, kia riro ko 1936.

$$1936\times 0.01=0.02x^{2}$$

Whakareatia te 1936 ki te 0.01, ka 19.36.

$$19.36=0.02x^{2}$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$0.02x^{2}=19.36$$

Tangohia te 19.36 mai i ngā taha e rua.

$$0.02x^{2}-19.36=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 0.02 mō a, 0 mō b, me -19.36 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 0.02\left(-19.36\right)}}{2\times 0.02}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 0.02\left(-19.36\right)}}{2\times 0.02}$$

Whakareatia -4 ki te 0.02.

$$x=\frac{0±\sqrt{-0.08\left(-19.36\right)}}{2\times 0.02}$$

Whakareatia -0.08 ki te -19.36 mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro, ka whakaiti i te hautanga ki ngā kīanga tau iti rawa e taea ana.

$$x=\frac{0±\sqrt{1.5488}}{2\times 0.02}$$

Tuhia te pūtakerua o te 1.5488.

$$x=\frac{0±\frac{22\sqrt{2}}{25}}{2\times 0.02}$$

Whakareatia 2 ki te 0.02.

$$x=\frac{0±\frac{22\sqrt{2}}{25}}{0.04}$$

Nā, me whakaoti te whārite x=\frac{0±\frac{22\sqrt{2}}{25}}{0.04} ina he tāpiri te ±.

$$x=22\sqrt{2}$$

Nā, me whakaoti te whārite x=\frac{0±\frac{22\sqrt{2}}{25}}{0.04} ina he tango te ±.

$$x=-22\sqrt{2}$$

Kua oti te whārite te whakatau.

$$x=22\sqrt{2} x=-22\sqrt{2}$$