x_1^2-2-(x-08)=-2(09+x) eching

$$x _ { 1 } ^ { 2 } - 2 - ( x - 08 ) = - 2 ( 09 + x )$$

x uchun yechish

$$x=2-x_{1}^{2}$$

Yechim qadamlari

0 hosil qilish uchun 0 va 8 ni ko'paytirish.

$$x_{1}^{2}-2-\left(x-0\right)=-2\left(0\times 9+x\right)$$

0 hosil qilish uchun 0 va 9 ni ko'paytirish.

$$x_{1}^{2}-2-\left(x-0\right)=-2x$$

2x ni ikki tarafga qo’shing.

$$x_{1}^{2}-2-\left(x-0\right)+2x=0$$

Shartlarni qayta saralash.

$$x_{1}^{2}-2-x+2x=0$$

x ni olish uchun -x va 2x ni birlashtirish.

$$x_{1}^{2}-2+x=0$$

Ikkala tarafdan x_{1}^{2} ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$-2+x=-x_{1}^{2}$$

2 ni ikki tarafga qo’shing.

$$x=-x_{1}^{2}+2$$

x_1 uchun yechish (complex solution)

$$x_{1}=-\sqrt{2-x}$$

$$x_{1}=\sqrt{2-x}$$

x_1 uchun yechish

$$x_{1}=\sqrt{2-x}$$

$$x_{1}=-\sqrt{2-x}\text{, }x\leq 2$$