18y^2-9x-5=0 eching

$$18 y ^ { 2 } - 9 x - 5 = 0$$

x uchun yechish

$$x=2y^{2}-\frac{5}{9}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan 18y^{2} ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$-9x-5=-18y^{2}$$

5 ni ikki tarafga qo’shing.

$$-9x=-18y^{2}+5$$

Tenglama standart shaklda.

$$-9x=5-18y^{2}$$

Ikki tarafini -9 ga bo‘ling.

$$\frac{-9x}{-9}=\frac{5-18y^{2}}{-9}$$

-9 ga bo'lish -9 ga ko'paytirishni bekor qiladi.

$$x=\frac{5-18y^{2}}{-9}$$

-18y^{2}+5 ni -9 ga bo'lish.

$$x=2y^{2}-\frac{5}{9}$$

y uchun yechish (complex solution)

$$y=-\frac{\sqrt{18x+10}}{6}$$

$$y=\frac{\sqrt{18x+10}}{6}$$

y uchun yechish

$$y=\frac{\sqrt{18x+10}}{6}$$

$$y=-\frac{\sqrt{18x+10}}{6}\text{, }x\geq -\frac{5}{9}$$