Whakaoti i te (1700-881.41)div19x^2+2*881.41=0

$$(1700-881.41) \div 19 { x }^{ 2 } +2 \times 881.41=0$$

Whakaoti mō x (complex solution)

$$x=-\frac{i\times 19\sqrt{759487802}}{81859}\approx -0-6.396576049i$$

$$x=\frac{i\times 19\sqrt{759487802}}{81859}\approx 6.396576049i$$

Ngā Upane mā te Kimi Pūtakerua

Whakareatia ngā taha e rua o te whārite ki te 19.

$$\left(1700-881.41\right)x^{2}+38\times 881.41=0$$

Tangohia te 881.41 i te 1700, ka 818.59.

$$818.59x^{2}+38\times 881.41=0$$

Whakareatia te 38 ki te 881.41, ka 33493.58.

$$818.59x^{2}+33493.58=0$$

Tangohia te 33493.58 mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$818.59x^{2}=-33493.58$$

Whakawehea ngā taha e rua ki te 818.59.

$$x^{2}=\frac{-33493.58}{818.59}$$

Whakarohaina te \frac{-33493.58}{818.59} mā te whakarea i te taurunga me te tauraro ki te 100.

$$x^{2}=\frac{-3349358}{81859}$$

Ka taea te hautanga \frac{-3349358}{81859} te tuhi anō ko -\frac{3349358}{81859} mā te tango i te tohu tōraro.

$$x^{2}=-\frac{3349358}{81859}$$

Kua oti te whārite te whakatau.

$$x=\frac{19\sqrt{759487802}i}{81859} x=-\frac{19\sqrt{759487802}i}{81859}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Whakareatia ngā taha e rua o te whārite ki te 19.

$$\left(1700-881.41\right)x^{2}+38\times 881.41=0$$

Tangohia te 881.41 i te 1700, ka 818.59.

$$818.59x^{2}+38\times 881.41=0$$

Whakareatia te 38 ki te 881.41, ka 33493.58.

$$818.59x^{2}+33493.58=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 818.59 mō a, 0 mō b, me 33493.58 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 818.59\times 33493.58}}{2\times 818.59}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 818.59\times 33493.58}}{2\times 818.59}$$

Whakareatia -4 ki te 818.59.

$$x=\frac{0±\sqrt{-3274.36\times 33493.58}}{2\times 818.59}$$

Whakareatia -3274.36 ki te 33493.58 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.

$$x=\frac{0±\sqrt{-109670038.6088}}{2\times 818.59}$$

Tuhia te pūtakerua o te -109670038.6088.

$$x=\frac{0±\frac{19\sqrt{759487802}i}{50}}{2\times 818.59}$$

Whakareatia 2 ki te 818.59.

$$x=\frac{0±\frac{19\sqrt{759487802}i}{50}}{1637.18}$$

Nā, me whakaoti te whārite x=\frac{0±\frac{19\sqrt{759487802}i}{50}}{1637.18} ina he tāpiri te ±.

$$x=\frac{19\sqrt{759487802}i}{81859}$$

Nā, me whakaoti te whārite x=\frac{0±\frac{19\sqrt{759487802}i}{50}}{1637.18} ina he tango te ±.

$$x=-\frac{19\sqrt{759487802}i}{81859}$$

Kua oti te whārite te whakatau.

$$x=\frac{19\sqrt{759487802}i}{81859} x=-\frac{19\sqrt{759487802}i}{81859}$$