2a=sqrt{12^2+x} eching

$$2a = \sqrt{ { 12 }^{ 2 } +x }$$

a uchun yechish (complex solution)

$$a=\frac{\sqrt{x+144}}{2}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

2 daraja ko‘rsatkichini 12 ga hisoblang va 144 ni qiymatni oling.

$$2a=\sqrt{144+x}$$

Tenglama standart shaklda.

$$2a=\sqrt{x+144}$$

Ikki tarafini 2 ga bo‘ling.

$$\frac{2a}{2}=\frac{\sqrt{x+144}}{2}$$

2 ga bo'lish 2 ga ko'paytirishni bekor qiladi.

$$a=\frac{\sqrt{x+144}}{2}$$

a uchun yechish

$$a=\frac{\sqrt{x+144}}{2}$$

$$x\geq -144$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

2 daraja ko‘rsatkichini 12 ga hisoblang va 144 ni qiymatni oling.

$$2a=\sqrt{144+x}$$

Tenglama standart shaklda.

$$2a=\sqrt{x+144}$$

Ikki tarafini 2 ga bo‘ling.

$$\frac{2a}{2}=\frac{\sqrt{x+144}}{2}$$

2 ga bo'lish 2 ga ko'paytirishni bekor qiladi.

$$a=\frac{\sqrt{x+144}}{2}$$

x uchun yechish

$$x=4\left(a^{2}-36\right)$$

$$a\geq 0$$

Ildizli tenglamalarni yechish qadamlari

2 daraja ko‘rsatkichini 12 ga hisoblang va 144 ni qiymatni oling.

$$2a=\sqrt{144+x}$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$\sqrt{144+x}=2a$$

Tenglamaning ikkala taraf kvadratini chiqarish.

$$x+144=4a^{2}$$

Tenglamaning ikkala tarafidan 144 ni ayirish.

$$x+144-144=4a^{2}-144$$

O‘zidan 144 ayirilsa 0 qoladi.

$$x=4a^{2}-144$$

x uchun yechish (complex solution)

$$x=4\left(a^{2}-36\right)$$

$$arg(a)<\pi \text{ or }a=0$$