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

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

Baholash

$$\frac{\sqrt{37}+7}{2}\approx 6,541381265$$

Yechim qadamlari

-14 ning teskarisi 14 ga teng.

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

2 daraja ko‘rsatkichini 14 ga hisoblang va 196 ni qiymatni oling.

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

8 hosil qilish uchun 4 va 2 ni ko'paytirish.

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

48 hosil qilish uchun 8 va 6 ni ko'paytirish.

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

148 olish uchun 196 dan 48 ni ayirish.

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

Faktor: 148=2^{2}\times 37. \sqrt{2^{2}\times 37} koʻpaytmasining kvadrat ildizini \sqrt{2^{2}}\sqrt{37} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing. 2^{2} ning kvadrat ildizini chiqarish.

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

4 hosil qilish uchun 2 va 2 ni ko'paytirish.

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

Omil

$$\frac{\sqrt{37} + 7}{2} = 6,541381265149109$$