nx-x=(n+3)(n+2) eching

$$n x - x = ( n + 3 ) ( n + 2 )$$

x uchun yechish

$$x=\frac{\left(n+2\right)\left(n+3\right)}{n-1}$$

$$n\neq 1$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

n+3 ga n+2 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$nx-x=n^{2}+5n+6$$

x'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(n-1\right)x=n^{2}+5n+6$$

Ikki tarafini n-1 ga bo‘ling.

$$\frac{\left(n-1\right)x}{n-1}=\frac{\left(n+2\right)\left(n+3\right)}{n-1}$$

n-1 ga bo'lish n-1 ga ko'paytirishni bekor qiladi.

$$x=\frac{\left(n+2\right)\left(n+3\right)}{n-1}$$

n uchun yechish (complex solution)

$$n=\frac{-\sqrt{x^{2}-14x+1}+x-5}{2}$$

$$n=\frac{\sqrt{x^{2}-14x+1}+x-5}{2}$$

n uchun yechish

$$n=\frac{-\sqrt{x^{2}-14x+1}+x-5}{2}$$

$$n=\frac{\sqrt{x^{2}-14x+1}+x-5}{2}\text{, }x\geq 4\sqrt{3}+7\text{ or }x\leq 7-4\sqrt{3}$$