y^2-2d-1=0 eching

$$y ^ { 2 } - 2 d - 1 = 0$$

d uchun yechish

$$d=\frac{y^{2}-1}{2}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$-2d-1=-y^{2}$$

1 ni ikki tarafga qo’shing.

$$-2d=-y^{2}+1$$

Tenglama standart shaklda.

$$-2d=1-y^{2}$$

Ikki tarafini -2 ga bo‘ling.

$$\frac{-2d}{-2}=\frac{1-y^{2}}{-2}$$

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

$$d=\frac{1-y^{2}}{-2}$$

-y^{2}+1 ni -2 ga bo'lish.

$$d=\frac{y^{2}-1}{2}$$

y uchun yechish (complex solution)

$$y=-\sqrt{2d+1}$$

$$y=\sqrt{2d+1}$$

y uchun yechish

$$y=\sqrt{2d+1}$$

$$y=-\sqrt{2d+1}\text{, }d\geq -\frac{1}{2}$$