(x-1)^2+8=0 eching

$$( x - 1 ) ^ { 2 } + 8 = 0$$

x uchun yechish (complex solution)

$$x=-2\sqrt{2}i+1\approx 1-2,828427125i$$

$$x=1+2\sqrt{2}i\approx 1+2,828427125i$$

Kvadrat ildizini topish bo'yicha qadamlar

O‘zidan 8 ayirilsa 0 qoladi.

$$\left(x-1\right)^{2}=-8$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

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

1 ni tenglamaning ikkala tarafiga qo'shish.

$$x-1-\left(-1\right)=2\sqrt{2}i-\left(-1\right) x-1-\left(-1\right)=-2\sqrt{2}i-\left(-1\right)$$

O‘zidan -1 ayirilsa 0 qoladi.

$$x=2\sqrt{2}i-\left(-1\right) x=-2\sqrt{2}i-\left(-1\right)$$

2i\sqrt{2} dan -1 ni ayirish.

$$x=1+2\sqrt{2}i$$

-2i\sqrt{2} dan -1 ni ayirish.

$$x=-2\sqrt{2}i+1$$

Tenglama yechildi.

$$x=1+2\sqrt{2}i x=-2\sqrt{2}i+1$$