(n+y)(n-6)=168 eching

$$( n + y ) ( n - 6 ) = 168$$

y uchun yechish

$$y=-\frac{n^{2}-6n-168}{n-6}$$

$$n\neq 6$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

n+y ga n-6 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$n^{2}-6n+yn-6y=168$$

Ikkala tarafdan n^{2} ni ayirish.

$$-6n+yn-6y=168-n^{2}$$

6n ni ikki tarafga qo’shing.

$$yn-6y=168-n^{2}+6n$$

y'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(n-6\right)y=168-n^{2}+6n$$

Tenglama standart shaklda.

$$\left(n-6\right)y=168+6n-n^{2}$$

Ikki tarafini n-6 ga bo‘ling.

$$\frac{\left(n-6\right)y}{n-6}=\frac{168+6n-n^{2}}{n-6}$$

n-6 ga bo'lish n-6 ga ko'paytirishni bekor qiladi.

$$y=\frac{168+6n-n^{2}}{n-6}$$

n uchun yechish

$$n=\frac{\sqrt{y^{2}+12y+708}}{2}-\frac{y}{2}+3$$

$$n=-\frac{\sqrt{y^{2}+12y+708}}{2}-\frac{y}{2}+3$$