Datrys 3(x-4)^2=-6

$$3 ( x - 4 ) ^ { 2 } = - 6$$

Datrys ar gyfer x (complex solution)

$$x=-\sqrt{2}i+4\approx 4-1.414213562i$$

$$x=4+\sqrt{2}i\approx 4+1.414213562i$$

Camau drwy Ganfod Isradd

Mae rhannu â 3 yn dad-wneud lluosi â 3.

$$\left(x-4\right)^{2}=-\frac{6}{3}$$

Rhannwch -6 â 3.

$$\left(x-4\right)^{2}=-2$$

Cymryd isradd dwy ochr yr hafaliad.

$$x-4=\sqrt{2}i x-4=-\sqrt{2}i$$

Adio 4 at ddwy ochr yr hafaliad.

$$x-4-\left(-4\right)=\sqrt{2}i-\left(-4\right) x-4-\left(-4\right)=-\sqrt{2}i-\left(-4\right)$$

Mae tynnu -4 o’i hun yn gadael 0.

$$x=\sqrt{2}i-\left(-4\right) x=-\sqrt{2}i-\left(-4\right)$$

Tynnu -4 o i\sqrt{2}.

$$x=4+\sqrt{2}i$$

Tynnu -4 o -i\sqrt{2}.

$$x=-\sqrt{2}i+4$$

Mae’r hafaliad wedi’i ddatrys nawr.

$$x=4+\sqrt{2}i x=-\sqrt{2}i+4$$