Whakaoti i te 28x^2=3105^2

$$28 x ^ { 2 } = 3105 ^ { 2 }$$

Whakaoti mō x

$$x = \frac{3105 \sqrt{7}}{14} \approx 586.789844347$$

$$x = -\frac{3105 \sqrt{7}}{14} \approx -586.789844347$$

Ngā Upane mā te Kimi Pūtakerua

Tātaihia te 3105 mā te pū o 2, kia riro ko 9641025.

$$28x^{2}=9641025$$

Whakawehea ngā taha e rua ki te 28.

$$x^{2}=\frac{9641025}{28}$$

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

$$x=\frac{3105\sqrt{7}}{14} x=-\frac{3105\sqrt{7}}{14}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Tātaihia te 3105 mā te pū o 2, kia riro ko 9641025.

$$28x^{2}=9641025$$

Tangohia te 9641025 mai i ngā taha e rua.

$$28x^{2}-9641025=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 28 mō a, 0 mō b, me -9641025 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 28\left(-9641025\right)}}{2\times 28}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 28\left(-9641025\right)}}{2\times 28}$$

Whakareatia -4 ki te 28.

$$x=\frac{0±\sqrt{-112\left(-9641025\right)}}{2\times 28}$$

Whakareatia -112 ki te -9641025.

$$x=\frac{0±\sqrt{1079794800}}{2\times 28}$$

Tuhia te pūtakerua o te 1079794800.

$$x=\frac{0±12420\sqrt{7}}{2\times 28}$$

Whakareatia 2 ki te 28.

$$x=\frac{0±12420\sqrt{7}}{56}$$

Nā, me whakaoti te whārite x=\frac{0±12420\sqrt{7}}{56} ina he tāpiri te ±.

$$x=\frac{3105\sqrt{7}}{14}$$

Nā, me whakaoti te whārite x=\frac{0±12420\sqrt{7}}{56} ina he tango te ±.

$$x=-\frac{3105\sqrt{7}}{14}$$

Kua oti te whārite te whakatau.

$$x=\frac{3105\sqrt{7}}{14} x=-\frac{3105\sqrt{7}}{14}$$