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

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

Aromātai

$$\sqrt{5}+2\approx 4.236067977$$

Ngā Upane Otinga

Ko te tauaro o -4 ko 4.

$$\frac{4+\sqrt{\left(-4\right)^{2}-4\times 1\left(-1\right)}}{2\times 1}$$

Tātaihia te -4 mā te pū o 2, kia riro ko 16.

$$\frac{4+\sqrt{16-4\times 1\left(-1\right)}}{2\times 1}$$

Whakareatia te 4 ki te 1, ka 4.

$$\frac{4+\sqrt{16-4\left(-1\right)}}{2\times 1}$$

Whakareatia te 4 ki te -1, ka -4.

$$\frac{4+\sqrt{16-\left(-4\right)}}{2\times 1}$$

Ko te tauaro o -4 ko 4.

$$\frac{4+\sqrt{16+4}}{2\times 1}$$

Tāpirihia te 16 ki te 4, ka 20.

$$\frac{4+\sqrt{20}}{2\times 1}$$

Tauwehea te 20=2^{2}\times 5. Tuhia anō te pūtake rua o te hua \sqrt{2^{2}\times 5} hei hua o ngā pūtake rua \sqrt{2^{2}}\sqrt{5}. Tuhia te pūtakerua o te 2^{2}.

$$\frac{4+2\sqrt{5}}{2\times 1}$$

Whakareatia te 2 ki te 1, ka 2.

$$\frac{4+2\sqrt{5}}{2}$$

Whakawehea ia wā o 4+2\sqrt{5} ki te 2, kia riro ko 2+\sqrt{5}.

$$2+\sqrt{5}$$

Tauwehe

$$\sqrt{5} + 2 = 4.236067977$$