2x^2=1/6 eching

$$2 x ^ { 2 } = \frac { 1 } { 6 }$$

x uchun yechish

$$x=\frac{\sqrt{3}}{6}\approx 0,288675135$$

$$x=-\frac{\sqrt{3}}{6}\approx -0,288675135$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikki tarafini 2 ga bo‘ling.

$$x^{2}=\frac{\frac{1}{6}}{2}$$

\frac{\frac{1}{6}}{2} ni yagona kasrga aylantiring.

$$x^{2}=\frac{1}{6\times 2}$$

12 hosil qilish uchun 6 va 2 ni ko'paytirish.

$$x^{2}=\frac{1}{12}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=\frac{\sqrt{3}}{6} x=-\frac{\sqrt{3}}{6}$$

Kvadrat tenglamalaridan foydalanish qoidalari

Ikki tarafini 2 ga bo‘ling.

$$x^{2}=\frac{\frac{1}{6}}{2}$$

\frac{\frac{1}{6}}{2} ni yagona kasrga aylantiring.

$$x^{2}=\frac{1}{6\times 2}$$

12 hosil qilish uchun 6 va 2 ni ko'paytirish.

$$x^{2}=\frac{1}{12}$$

Ikkala tarafdan \frac{1}{12} ni ayirish.

$$x^{2}-\frac{1}{12}=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 1 ni a, 0 ni b va -\frac{1}{12} ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\left(-\frac{1}{12}\right)}}{2}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\left(-\frac{1}{12}\right)}}{2}$$

-4 ni -\frac{1}{12} marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{\frac{1}{3}}}{2}$$

\frac{1}{3} ning kvadrat ildizini chiqarish.

$$x=\frac{0±\frac{\sqrt{3}}{3}}{2}$$

x=\frac{0±\frac{\sqrt{3}}{3}}{2} tenglamasini yeching, bunda ± musbat.

$$x=\frac{\sqrt{3}}{6}$$

x=\frac{0±\frac{\sqrt{3}}{3}}{2} tenglamasini yeching, bunda ± manfiy.

$$x=-\frac{\sqrt{3}}{6}$$

Tenglama yechildi.

$$x=\frac{\sqrt{3}}{6} x=-\frac{\sqrt{3}}{6}$$