Datrys {l}{z=7+i}{a={(z^2+1z^2)}^2}{b=a}{c=b}{text{Solvefor}dtext{where}}{d=c}

$$\left. \begin{array} { l } { z = 7 + i }\\ { a = {(z ^ {2} + 1 z ^ {2})} ^ {2} }\\ { b = a }\\ { c = b }\\ { \text{Solve for } d \text{ where} } \\ { d = c } \end{array} \right.$$

Datrys ar gyfer z, a, b, c, d

$$d=8432+5376i$$

Camau Ateb

Ystyriwch yr ail hafaliad. Mewnosod y gwerthoedd sy’n hysbys i’r hafaliad.

$$a=\left(\left(7+i\right)^{2}+1\left(7+i\right)^{2}\right)^{2}$$

Cyfrifo 7+i i bŵer 2 a chael 48+14i.

$$a=\left(48+14i+1\left(7+i\right)^{2}\right)^{2}$$

Cyfrifo 7+i i bŵer 2 a chael 48+14i.

$$a=\left(48+14i+1\left(48+14i\right)\right)^{2}$$

Lluosi 1 a 48+14i i gael 48+14i.

$$a=\left(48+14i+\left(48+14i\right)\right)^{2}$$

Adio 48+14i a 48+14i i gael 96+28i.

$$a=\left(96+28i\right)^{2}$$

Cyfrifo 96+28i i bŵer 2 a chael 8432+5376i.

$$a=8432+5376i$$

Ystyriwch y trydydd hafaliad. Mewnosod y gwerthoedd sy’n hysbys i’r hafaliad.

$$b=8432+5376i$$

Ystyriwch y pedwaredd hafaliad. Mewnosod y gwerthoedd sy’n hysbys i’r hafaliad.

$$c=8432+5376i$$

Ystyriwch y pumed hafaliad. Mewnosod y gwerthoedd sy’n hysbys i’r hafaliad.

$$d=8432+5376i$$

Mae’r system wedi’i datrys nawr.

$$z=7+i a=8432+5376i b=8432+5376i c=8432+5376i d=8432+5376i$$