Whakaoti i te frac{-12+-sqrt{12^2-4(1)(-32)}}{2(1)}

$$\frac{ -12+- \sqrt{ { 12 }^{ 2 } -4(1)(-32) } }{ 2(1) }$$

Aromātai

$$-2\sqrt{17}-6\approx -14.246211251$$

Ngā Upane Otinga

Tātaihia te 12 mā te pū o 2, kia riro ko 144.

$$\frac{-12-\sqrt{144-4\times 1\left(-32\right)}}{2\times 1}$$

Whakareatia te 4 ki te 1, ka 4.

$$\frac{-12-\sqrt{144-4\left(-32\right)}}{2\times 1}$$

Whakareatia te 4 ki te -32, ka -128.

$$\frac{-12-\sqrt{144-\left(-128\right)}}{2\times 1}$$

Ko te tauaro o -128 ko 128.

$$\frac{-12-\sqrt{144+128}}{2\times 1}$$

Tāpirihia te 144 ki te 128, ka 272.

$$\frac{-12-\sqrt{272}}{2\times 1}$$

Tauwehea te 272=4^{2}\times 17. Tuhia anō te pūtake rua o te hua \sqrt{4^{2}\times 17} hei hua o ngā pūtake rua \sqrt{4^{2}}\sqrt{17}. Tuhia te pūtakerua o te 4^{2}.

$$\frac{-12-4\sqrt{17}}{2\times 1}$$

Whakareatia te 2 ki te 1, ka 2.

$$\frac{-12-4\sqrt{17}}{2}$$

Tauwehe

$$2 {(-\sqrt{17} - 3)} = -14.246211251$$