180(h-2)=n[5(n-2)] eching

$$180 ( h - 2 ) = n [ 5 ( n - 2 ) ]$$

h uchun yechish

$$h=\frac{n^{2}-2n+72}{36}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

180 ga h-2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$180h-360=n\times 5\left(n-2\right)$$

n\times 5 ga n-2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$180h-360=5n^{2}-2n\times 5$$

-10 hosil qilish uchun -2 va 5 ni ko'paytirish.

$$180h-360=5n^{2}-10n$$

360 ni ikki tarafga qo’shing.

$$180h=5n^{2}-10n+360$$

Ikki tarafini 180 ga bo‘ling.

$$\frac{180h}{180}=\frac{5n^{2}-10n+360}{180}$$

180 ga bo'lish 180 ga ko'paytirishni bekor qiladi.

$$h=\frac{5n^{2}-10n+360}{180}$$

5n^{2}-10n+360 ni 180 ga bo'lish.

$$h=\frac{n^{2}}{36}-\frac{n}{18}+2$$

n uchun yechish (complex solution)

$$n=\sqrt{36h-71}+1$$

$$n=-\sqrt{36h-71}+1$$

n uchun yechish

$$n=\sqrt{36h-71}+1$$

$$n=-\sqrt{36h-71}+1\text{, }h\geq \frac{71}{36}$$