sqrt{x}+y=1 eching

$$\sqrt { x } + y = 1$$

x uchun yechish

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

$$1-y\geq 0$$

Ildizli tenglamalarni yechish qadamlari

Tenglamaning ikkala tarafidan y ni ayirish.

$$\sqrt{x}+y-y=1-y$$

O‘zidan y ayirilsa 0 qoladi.

$$\sqrt{x}=1-y$$

Tenglamaning ikkala taraf kvadratini chiqarish.

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

x uchun yechish (complex solution)

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

$$y=1\text{ or }arg(1-y)<\pi$$

y uchun yechish (complex solution)

$$y=-\sqrt{x}+1$$

y uchun yechish

$$y=-\sqrt{x}+1$$

$$x\geq 0$$