2ax^2-216=0 eching

$$2 a x ^ { 2 } - 216 = 0$$

a uchun yechish

$$a=\frac{108}{x^{2}}$$

$$x\neq 0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

216 ni ikki tarafga qo’shing. Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

$$2ax^{2}=216$$

Tenglama standart shaklda.

$$2x^{2}a=216$$

Ikki tarafini 2x^{2} ga bo‘ling.

$$\frac{2x^{2}a}{2x^{2}}=\frac{216}{2x^{2}}$$

2x^{2} ga bo'lish 2x^{2} ga ko'paytirishni bekor qiladi.

$$a=\frac{216}{2x^{2}}$$

216 ni 2x^{2} ga bo'lish.

$$a=\frac{108}{x^{2}}$$

x uchun yechish (complex solution)

$$x=-6\sqrt{3}a^{-\frac{1}{2}}$$

$$x=6\sqrt{3}a^{-\frac{1}{2}}\text{, }a\neq 0$$

x uchun yechish

$$x=6\sqrt{\frac{3}{a}}$$

$$x=-6\sqrt{\frac{3}{a}}\text{, }a>0$$