Datrys {l}{g{(x)}={(1/4)}^3-3}{h=g{(5)}}{i=h}{j=i}{text{Solvefor}ktext{where}}{k=j}

$$\left. \begin{array} { l } { g {(x)} = {(\frac{1}{4})} ^ {3} - 3 }\\ { h = g {(5)} }\\ { i = h }\\ { j = i }\\ { \text{Solve for } k \text{ where} } \\ { k = j } \end{array} \right.$$

Datrys ar gyfer g, x, h, j, k

$$k=i$$

Camau Ateb

Ystyriwch y trydydd hafaliad. Cyfnewidiwch yr ochrau fel bod yr holl dermau newidiol ar yr ochr chwith.

$$h=i$$

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

$$i=g\times 5$$

Rhannu’r ddwy ochr â 5.

$$\frac{i}{5}=g$$

Rhannu i â 5 i gael \frac{1}{5}i.

$$\frac{1}{5}i=g$$

Cyfnewidiwch yr ochrau fel bod yr holl dermau newidiol ar yr ochr chwith.

$$g=\frac{1}{5}i$$

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

$$\frac{1}{5}ix=\left(\frac{1}{4}\right)^{3}-3$$

Cyfrifo \frac{1}{4} i bŵer 3 a chael \frac{1}{64}.

$$\frac{1}{5}ix=\frac{1}{64}-3$$

Tynnu 3 o \frac{1}{64} i gael -\frac{191}{64}.

$$\frac{1}{5}ix=-\frac{191}{64}$$

Rhannu’r ddwy ochr â \frac{1}{5}i.

$$x=\frac{-\frac{191}{64}}{\frac{1}{5}i}$$

Lluoswch rifiadur ac enwadur \frac{-\frac{191}{64}}{\frac{1}{5}i} gyda’r uned dychmygol i.

$$x=\frac{-\frac{191}{64}i}{-\frac{1}{5}}$$

Rhannu -\frac{191}{64}i â -\frac{1}{5} i gael \frac{955}{64}i.

$$x=\frac{955}{64}i$$

Mae’r system wedi’i datrys nawr.

$$g=\frac{1}{5}i x=\frac{955}{64}i h=i j=i k=i$$