Whakaoti i te 9541x*90(50x*3)=4128

$$9541x \times 90(50x \times 3)=4128$$

Whakaoti mō x

$$x=\frac{2\sqrt{4102630}}{715575}\approx 0.005661168$$

$$x=-\frac{2\sqrt{4102630}}{715575}\approx -0.005661168$$

Ngā Upane mā te Kimi Pūtakerua

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

$$9541x^{2}\times 90\times 50\times 3=4128$$

Whakareatia te 9541 ki te 90, ka 858690.

$$858690x^{2}\times 50\times 3=4128$$

Whakareatia te 858690 ki te 50, ka 42934500.

$$42934500x^{2}\times 3=4128$$

Whakareatia te 42934500 ki te 3, ka 128803500.

$$128803500x^{2}=4128$$

Whakawehea ngā taha e rua ki te 128803500.

$$x^{2}=\frac{4128}{128803500}$$

Whakahekea te hautanga \frac{4128}{128803500} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 12.

$$x^{2}=\frac{344}{10733625}$$

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

$$x=\frac{2\sqrt{4102630}}{715575} x=-\frac{2\sqrt{4102630}}{715575}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

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

$$9541x^{2}\times 90\times 50\times 3=4128$$

Whakareatia te 9541 ki te 90, ka 858690.

$$858690x^{2}\times 50\times 3=4128$$

Whakareatia te 858690 ki te 50, ka 42934500.

$$42934500x^{2}\times 3=4128$$

Whakareatia te 42934500 ki te 3, ka 128803500.

$$128803500x^{2}=4128$$

Tangohia te 4128 mai i ngā taha e rua.

$$128803500x^{2}-4128=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 128803500 mō a, 0 mō b, me -4128 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 128803500\left(-4128\right)}}{2\times 128803500}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 128803500\left(-4128\right)}}{2\times 128803500}$$

Whakareatia -4 ki te 128803500.

$$x=\frac{0±\sqrt{-515214000\left(-4128\right)}}{2\times 128803500}$$

Whakareatia -515214000 ki te -4128.

$$x=\frac{0±\sqrt{2126803392000}}{2\times 128803500}$$

Tuhia te pūtakerua o te 2126803392000.

$$x=\frac{0±720\sqrt{4102630}}{2\times 128803500}$$

Whakareatia 2 ki te 128803500.

$$x=\frac{0±720\sqrt{4102630}}{257607000}$$

Nā, me whakaoti te whārite x=\frac{0±720\sqrt{4102630}}{257607000} ina he tāpiri te ±.

$$x=\frac{2\sqrt{4102630}}{715575}$$

Nā, me whakaoti te whārite x=\frac{0±720\sqrt{4102630}}{257607000} ina he tango te ±.

$$x=-\frac{2\sqrt{4102630}}{715575}$$

Kua oti te whārite te whakatau.

$$x=\frac{2\sqrt{4102630}}{715575} x=-\frac{2\sqrt{4102630}}{715575}$$