(y-2)^2=3-x eching

$$( y - 2 ) ^ { 2 } = 3 - x$$

x uchun yechish

$$x=-\left(y-2\right)^{2}+3$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(y-2\right)^{2} kengaytirilishi uchun ishlating.

$$y^{2}-4y+4=3-x$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$3-x=y^{2}-4y+4$$

Ikkala tarafdan 3 ni ayirish.

$$-x=y^{2}-4y+4-3$$

1 olish uchun 4 dan 3 ni ayirish.

$$-x=y^{2}-4y+1$$

Ikki tarafini -1 ga bo‘ling.

$$\frac{-x}{-1}=\frac{y^{2}-4y+1}{-1}$$

-1 ga bo'lish -1 ga ko'paytirishni bekor qiladi.

$$x=\frac{y^{2}-4y+1}{-1}$$

y^{2}-4y+1 ni -1 ga bo'lish.

$$x=-\left(y^{2}-4y+1\right)$$

y uchun yechish (complex solution)

$$y=-\sqrt{3-x}+2$$

$$y=\sqrt{3-x}+2$$

y uchun yechish

$$y=-\sqrt{3-x}+2$$

$$y=\sqrt{3-x}+2\text{, }x\leq 3$$