Whakaoti i te 1/2*2.64*x^2=1/2*97.8*(0.85)^2

$$\frac { 1 } { 2 } \times 2.64 \times x ^ { 2 } = \frac { 1 } { 2 } \times 97.8 \times ( 0.85 ) ^ { 2 }$$

Whakaoti mō x

$$x = \frac{17 \sqrt{17930}}{440} \approx 5.173523065$$

$$x = -\frac{17 \sqrt{17930}}{440} \approx -5.173523065$$

Ngā Upane mā te Kimi Pūtakerua

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

$$2.64x^{2}=97.8\times 0.85^{2}$$

Tātaihia te 0.85 mā te pū o 2, kia riro ko 0.7225.

$$2.64x^{2}=97.8\times 0.7225$$

Whakareatia te 97.8 ki te 0.7225, ka 70.6605.

$$2.64x^{2}=70.6605$$

Whakawehea ngā taha e rua ki te 2.64.

$$x^{2}=\frac{70.6605}{2.64}$$

Whakarohaina te \frac{70.6605}{2.64} mā te whakarea i te taurunga me te tauraro ki te 10000.

$$x^{2}=\frac{706605}{26400}$$

Whakahekea te hautanga \frac{706605}{26400} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 15.

$$x^{2}=\frac{47107}{1760}$$

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

$$x=\frac{17\sqrt{17930}}{440} x=-\frac{17\sqrt{17930}}{440}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

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

$$2.64x^{2}=97.8\times 0.85^{2}$$

Tātaihia te 0.85 mā te pū o 2, kia riro ko 0.7225.

$$2.64x^{2}=97.8\times 0.7225$$

Whakareatia te 97.8 ki te 0.7225, ka 70.6605.

$$2.64x^{2}=70.6605$$

Tangohia te 70.6605 mai i ngā taha e rua.

$$2.64x^{2}-70.6605=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 2.64 mō a, 0 mō b, me -70.6605 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 2.64\left(-70.6605\right)}}{2\times 2.64}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 2.64\left(-70.6605\right)}}{2\times 2.64}$$

Whakareatia -4 ki te 2.64.

$$x=\frac{0±\sqrt{-10.56\left(-70.6605\right)}}{2\times 2.64}$$

Whakareatia -10.56 ki te -70.6605 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.

$$x=\frac{0±\sqrt{746.17488}}{2\times 2.64}$$

Tuhia te pūtakerua o te 746.17488.

$$x=\frac{0±\frac{51\sqrt{17930}}{250}}{2\times 2.64}$$

Whakareatia 2 ki te 2.64.

$$x=\frac{0±\frac{51\sqrt{17930}}{250}}{5.28}$$

Nā, me whakaoti te whārite x=\frac{0±\frac{51\sqrt{17930}}{250}}{5.28} ina he tāpiri te ±.

$$x=\frac{17\sqrt{17930}}{440}$$

Nā, me whakaoti te whārite x=\frac{0±\frac{51\sqrt{17930}}{250}}{5.28} ina he tango te ±.

$$x=-\frac{17\sqrt{17930}}{440}$$

Kua oti te whārite te whakatau.

$$x=\frac{17\sqrt{17930}}{440} x=-\frac{17\sqrt{17930}}{440}$$