a/36+36/a=x eching

$$\frac { a } { 36 } + \frac { 36 } { a } = x$$

x uchun yechish

$$x=\frac{a}{36}+\frac{36}{a}$$

$$a\neq 0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 36a ga, 36,a ning eng kichik karralisiga ko‘paytiring.

$$aa+36\times 36=x\times 36a$$

a^{2} hosil qilish uchun a va a ni ko'paytirish.

$$a^{2}+36\times 36=x\times 36a$$

1296 hosil qilish uchun 36 va 36 ni ko'paytirish.

$$a^{2}+1296=x\times 36a$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$x\times 36a=a^{2}+1296$$

Tenglama standart shaklda.

$$36ax=a^{2}+1296$$

Ikki tarafini 36a ga bo‘ling.

$$\frac{36ax}{36a}=\frac{a^{2}+1296}{36a}$$

36a ga bo'lish 36a ga ko'paytirishni bekor qiladi.

$$x=\frac{a^{2}+1296}{36a}$$

a^{2}+1296 ni 36a ga bo'lish.

$$x=\frac{a}{36}+\frac{36}{a}$$

a uchun yechish (complex solution)

$$a=18\left(\sqrt{x^{2}-4}+x\right)$$

$$a=18\left(-\sqrt{x^{2}-4}+x\right)$$

a uchun yechish

$$a=18\left(\sqrt{x^{2}-4}+x\right)$$

$$a=18\left(-\sqrt{x^{2}-4}+x\right)\text{, }|x|\geq 2$$