6x^2=2 eching

$$6 { x }^{ 2 } =2$$

x uchun yechish

$$x=\frac{\sqrt{3}}{3}\approx 0,577350269$$

$$x=-\frac{\sqrt{3}}{3}\approx -0,577350269$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikki tarafini 6 ga bo‘ling.

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

\frac{2}{6} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x^{2}=\frac{1}{3}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

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

Kvadrat tenglamalaridan foydalanish qoidalari

Ikki tarafini 6 ga bo‘ling.

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

\frac{2}{6} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x^{2}=\frac{1}{3}$$

Ikkala tarafdan \frac{1}{3} ni ayirish.

$$x^{2}-\frac{1}{3}=0$$

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}{3} ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\left(-\frac{1}{3}\right)}}{2}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\left(-\frac{1}{3}\right)}}{2}$$

-4 ni -\frac{1}{3} marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{\frac{4}{3}}}{2}$$

\frac{4}{3} ning kvadrat ildizini chiqarish.

$$x=\frac{0±\frac{2\sqrt{3}}{3}}{2}$$

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

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

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

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

Tenglama yechildi.

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