6y^2=36 eching

$$6 y ^ { 2 } = 36$$

y uchun yechish

$$y=\sqrt{6}\approx 2,449489743$$

$$y=-\sqrt{6}\approx -2,449489743$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikki tarafini 6 ga bo‘ling.

$$y^{2}=\frac{36}{6}$$

6 ni olish uchun 36 ni 6 ga bo‘ling.

$$y^{2}=6$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$y=\sqrt{6} y=-\sqrt{6}$$

Kvadrat tenglamalaridan foydalanish qoidalari

Ikki tarafini 6 ga bo‘ling.

$$y^{2}=\frac{36}{6}$$

6 ni olish uchun 36 ni 6 ga bo‘ling.

$$y^{2}=6$$

Ikkala tarafdan 6 ni ayirish.

$$y^{2}-6=0$$

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 -6 ni c bilan almashtiring.

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

0 kvadratini chiqarish.

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

-4 ni -6 marotabaga ko'paytirish.

$$y=\frac{0±\sqrt{24}}{2}$$

24 ning kvadrat ildizini chiqarish.

$$y=\frac{0±2\sqrt{6}}{2}$$

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

$$y=\sqrt{6}$$

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

$$y=-\sqrt{6}$$

Tenglama yechildi.

$$y=\sqrt{6} y=-\sqrt{6}$$