2n^2/2=9Rightarrown=x eching

$$\frac { 2 n ^ { 2 } } { 2 } = 9 \Rightarrow n = x$$

n uchun yechish

$$n=3$$

$$n=-3$$

Kvadratlar farqidan foydalangan qadamlar

Ikkala tarafini 2 ga ko‘paytiring.

$$2n^{2}=9\times 2$$

2ni ikki tarafidan bekor qilish.

$$n^{2}=9$$

Ikkala tarafdan 9 ni ayirish.

$$n^{2}-9=0$$

Hisoblang: n^{2}-9. n^{2}-9 ni n^{2}-3^{2} sifatida qaytadan yozish. Kvadratlarning farqini ushbu formula bilan hisoblash mumkin: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

$$\left(n-3\right)\left(n+3\right)=0$$

Tenglamani yechish uchun n-3=0 va n+3=0 ni yeching.

$$n=3 n=-3$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikkala tarafini 2 ga ko‘paytiring.

$$2n^{2}=9\times 2$$

2ni ikki tarafidan bekor qilish.

$$n^{2}=9$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$n=3 n=-3$$

Kvadrat tenglamalaridan foydalanish qoidalari

Ikkala tarafini 2 ga ko‘paytiring.

$$2n^{2}=9\times 2$$

2ni ikki tarafidan bekor qilish.

$$n^{2}=9$$

Ikkala tarafdan 9 ni ayirish.

$$n^{2}-9=0$$

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 -9 ni c bilan almashtiring.

$$n=\frac{0±\sqrt{0^{2}-4\left(-9\right)}}{2}$$

0 kvadratini chiqarish.

$$n=\frac{0±\sqrt{-4\left(-9\right)}}{2}$$

-4 ni -9 marotabaga ko'paytirish.

$$n=\frac{0±\sqrt{36}}{2}$$

36 ning kvadrat ildizini chiqarish.

$$n=\frac{0±6}{2}$$

n=\frac{0±6}{2} tenglamasini yeching, bunda ± musbat. 6 ni 2 ga bo'lish.

$$n=3$$

n=\frac{0±6}{2} tenglamasini yeching, bunda ± manfiy. -6 ni 2 ga bo'lish.

$$n=-3$$

Tenglama yechildi.

$$n=3 n=-3$$