Réitigh (x-1)^2+8=0

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

Réitigh do x. (complex solution)

$$x=-2\sqrt{2}i+1\approx 1-2.828427125i$$

$$x=1+2\sqrt{2}i\approx 1+2.828427125i$$

Céimeanna tríd an bhFréamh Chearnach a Fháil

Má dhealaítear 8 uaidh féin faightear 0.

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

Tóg fréamh chearnach an dá thaobh den chothromóid.

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

Cuir 1 leis an dá thaobh den chothromóid.

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

Má dhealaítear -1 uaidh féin faightear 0.

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

Dealaigh -1 ó 2i\sqrt{2}.

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

Dealaigh -1 ó -2i\sqrt{2}.

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

Tá an chothromóid réitithe anois.

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