a(x-3)(x-1)=1 eching

$$a ( x - 3 ) ( x - 1 ) = 1$$

a uchun yechish

$$a=\frac{1}{\left(x-3\right)\left(x-1\right)}$$

$$x\neq 1\text{ and }x\neq 3$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

a ga x-3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\left(ax-3a\right)\left(x-1\right)=1$$

ax-3a ga x-1 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$ax^{2}-4ax+3a=1$$

a'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(x^{2}-4x+3\right)a=1$$

Ikki tarafini x^{2}-4x+3 ga bo‘ling.

$$\frac{\left(x^{2}-4x+3\right)a}{x^{2}-4x+3}=\frac{1}{x^{2}-4x+3}$$

x^{2}-4x+3 ga bo'lish x^{2}-4x+3 ga ko'paytirishni bekor qiladi.

$$a=\frac{1}{x^{2}-4x+3}$$

1 ni x^{2}-4x+3 ga bo'lish.

$$a=\frac{1}{\left(x-3\right)\left(x-1\right)}$$

x uchun yechish (complex solution)

$$x=\frac{\sqrt{a^{2}+a}}{a}+2$$

$$x=-\frac{\sqrt{a^{2}+a}}{a}+2\text{, }a\neq 0$$

x uchun yechish

$$x=\frac{\sqrt{a^{2}+a}}{a}+2$$

$$x=-\frac{\sqrt{a^{2}+a}}{a}+2\text{, }a>0\text{ or }a\leq -1$$