n^2/2=1 eching

$$\frac { n ^ { 2 } } { 2 } = 1$$

n uchun yechish

$$n=\sqrt{2}\approx 1,414213562$$

$$n=-\sqrt{2}\approx -1,414213562$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikkala tarafini 2 ga ko‘paytiring.

$$n^{2}=2$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$n=\sqrt{2} n=-\sqrt{2}$$

Kvadrat tenglamalaridan foydalanish qoidalari

Ikkala tarafini 2 ga ko‘paytiring.

$$n^{2}=2$$

Ikkala tarafdan 2 ni ayirish.

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

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 -2 ni c bilan almashtiring.

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

0 kvadratini chiqarish.

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

-4 ni -2 marotabaga ko'paytirish.

$$n=\frac{0±\sqrt{8}}{2}$$

8 ning kvadrat ildizini chiqarish.

$$n=\frac{0±2\sqrt{2}}{2}$$

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

$$n=\sqrt{2}$$

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

$$n=-\sqrt{2}$$

Tenglama yechildi.

$$n=\sqrt{2} n=-\sqrt{2}$$