Réitigh left(2x-1right)^2-7(2*-1)+12=0

$${ \left(2x-1 \right) }^{ 2 } -7(2 \times -1)+12=0$$

Réitigh do x. (complex solution)

$$x=\frac{-\sqrt{26}i+1}{2}\approx 0.5-2.549509757i$$

$$x=\frac{1+\sqrt{26}i}{2}\approx 0.5+2.549509757i$$

Céimeanna tríd an bhFréamh Chearnach a Fháil

Má dhealaítear 26 uaidh féin faightear 0.

$$\left(2x-1\right)^{2}=-26$$

Tóg fréamh chearnach an dá thaobh den chothromóid.

$$2x-1=\sqrt{26}i 2x-1=-\sqrt{26}i$$

Cuir 1 leis an dá thaobh den chothromóid.

$$2x-1-\left(-1\right)=\sqrt{26}i-\left(-1\right) 2x-1-\left(-1\right)=-\sqrt{26}i-\left(-1\right)$$

Má dhealaítear -1 uaidh féin faightear 0.

$$2x=\sqrt{26}i-\left(-1\right) 2x=-\sqrt{26}i-\left(-1\right)$$

Dealaigh -1 ó i\sqrt{26}.

$$2x=1+\sqrt{26}i$$

Dealaigh -1 ó -i\sqrt{26}.

$$2x=-\sqrt{26}i+1$$

Roinn an dá thaobh faoi 2.

$$\frac{2x}{2}=\frac{1+\sqrt{26}i}{2} \frac{2x}{2}=\frac{-\sqrt{26}i+1}{2}$$

Má roinntear é faoi 2 cuirtear an iolrúchán faoi 2 ar ceal.

$$x=\frac{1+\sqrt{26}i}{2} x=\frac{-\sqrt{26}i+1}{2}$$