6x^2+18=19 eching

$$6 { x }^{ 2 } +18 = 19$$

x uchun yechish

$$x=\frac{\sqrt{6}}{6}\approx 0,40824829$$

$$x=-\frac{\sqrt{6}}{6}\approx -0,40824829$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikkala tarafdan 18 ni ayirish.

$$6x^{2}=19-18$$

1 olish uchun 19 dan 18 ni ayirish.

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

Ikki tarafini 6 ga bo‘ling.

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

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

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

Kvadrat tenglamalaridan foydalanish qoidalari

Ikkala tarafdan 19 ni ayirish.

$$6x^{2}+18-19=0$$

-1 olish uchun 18 dan 19 ni ayirish.

$$6x^{2}-1=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 6 ni a, 0 ni b va -1 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times 6\left(-1\right)}}{2\times 6}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times 6\left(-1\right)}}{2\times 6}$$

-4 ni 6 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-24\left(-1\right)}}{2\times 6}$$

-24 ni -1 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{24}}{2\times 6}$$

24 ning kvadrat ildizini chiqarish.

$$x=\frac{0±2\sqrt{6}}{2\times 6}$$

2 ni 6 marotabaga ko'paytirish.

$$x=\frac{0±2\sqrt{6}}{12}$$

x=\frac{0±2\sqrt{6}}{12} tenglamasini yeching, bunda ± musbat.

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

x=\frac{0±2\sqrt{6}}{12} tenglamasini yeching, bunda ± manfiy.

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

Tenglama yechildi.

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