Whakaoti i te frac{-(-14)+sqrt{14^2-4(2)(6)}}{2(2)}

$$\frac{ -(-14)+ \sqrt{ { 14 }^{ 2 } -4(2)(6) } }{ 2(2) }$$

Aromātai

$$\frac{\sqrt{37}+7}{2}\approx 6.541381265$$

Ngā Upane Otinga

Ko te tauaro o -14 ko 14.

$$\frac{14+\sqrt{14^{2}-4\times 2\times 6}}{2\times 2}$$

Tātaihia te 14 mā te pū o 2, kia riro ko 196.

$$\frac{14+\sqrt{196-4\times 2\times 6}}{2\times 2}$$

Whakareatia te 4 ki te 2, ka 8.

$$\frac{14+\sqrt{196-8\times 6}}{2\times 2}$$

Whakareatia te 8 ki te 6, ka 48.

$$\frac{14+\sqrt{196-48}}{2\times 2}$$

Tangohia te 48 i te 196, ka 148.

$$\frac{14+\sqrt{148}}{2\times 2}$$

Tauwehea te 148=2^{2}\times 37. Tuhia anō te pūtake rua o te hua \sqrt{2^{2}\times 37} hei hua o ngā pūtake rua \sqrt{2^{2}}\sqrt{37}. Tuhia te pūtakerua o te 2^{2}.

$$\frac{14+2\sqrt{37}}{2\times 2}$$

Whakareatia te 2 ki te 2, ka 4.

$$\frac{14+2\sqrt{37}}{4}$$

Tauwehe

$$\frac{\sqrt{37} + 7}{2} = 6.541381265149109$$