3n^2=7+4 eching

$$3 n ^ { 2 } = 7 + 4$$

n uchun yechish

$$n = \frac{\sqrt{33}}{3} \approx 1,914854216$$

$$n = -\frac{\sqrt{33}}{3} \approx -1,914854216$$

Kvadrat ildizini topish bo'yicha qadamlar

11 olish uchun 7 va 4'ni qo'shing.

$$3n^{2}=11$$

Ikki tarafini 3 ga bo‘ling.

$$n^{2}=\frac{11}{3}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$n=\frac{\sqrt{33}}{3} n=-\frac{\sqrt{33}}{3}$$

Kvadrat tenglamalaridan foydalanish qoidalari

11 olish uchun 7 va 4'ni qo'shing.

$$3n^{2}=11$$

Ikkala tarafdan 11 ni ayirish.

$$3n^{2}-11=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 3 ni a, 0 ni b va -11 ni c bilan almashtiring.

$$n=\frac{0±\sqrt{0^{2}-4\times 3\left(-11\right)}}{2\times 3}$$

0 kvadratini chiqarish.

$$n=\frac{0±\sqrt{-4\times 3\left(-11\right)}}{2\times 3}$$

-4 ni 3 marotabaga ko'paytirish.

$$n=\frac{0±\sqrt{-12\left(-11\right)}}{2\times 3}$$

-12 ni -11 marotabaga ko'paytirish.

$$n=\frac{0±\sqrt{132}}{2\times 3}$$

132 ning kvadrat ildizini chiqarish.

$$n=\frac{0±2\sqrt{33}}{2\times 3}$$

2 ni 3 marotabaga ko'paytirish.

$$n=\frac{0±2\sqrt{33}}{6}$$

n=\frac{0±2\sqrt{33}}{6} tenglamasini yeching, bunda ± musbat.

$$n=\frac{\sqrt{33}}{3}$$

n=\frac{0±2\sqrt{33}}{6} tenglamasini yeching, bunda ± manfiy.

$$n=-\frac{\sqrt{33}}{3}$$

Tenglama yechildi.

$$n=\frac{\sqrt{33}}{3} n=-\frac{\sqrt{33}}{3}$$