abc=1.text{provethat}:1/1+a+b^-1+1/1+b+c^-1+1/1+c+a^-1=1 eching

$$a b c = 1 . \text { prove that } : \frac { 1 } { 1 + a + b ^ { - 1 } } + \frac { 1 } { 1 + b + c ^ { - 1 } } + \frac { 1 } { 1 + c + a ^ { - 1 } } = 1$$

a uchun yechish

$$a=\frac{1}{bc}$$

$$c\neq 0\text{ and }b\neq 0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglama standart shaklda.

$$bca=1$$

Ikki tarafini bc ga bo‘ling.

$$\frac{bca}{bc}=\frac{1}{bc}$$

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

$$a=\frac{1}{bc}$$

b uchun yechish

$$b=\frac{1}{ac}$$

$$c\neq 0\text{ and }a\neq 0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglama standart shaklda.

$$acb=1$$

Ikki tarafini ac ga bo‘ling.

$$\frac{acb}{ac}=\frac{1}{ac}$$

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

$$b=\frac{1}{ac}$$