Issolvi {l}{f{(x)}=20{(2x^3+3x^2-2x)}}{g=8x}{h=g}{i=h}{j=i}{k=j}{l=k}{text{Solvefor}mtext{where}}{m=l}

$$\left. \begin{array} { l } { f {(x)} = 20 {(2 x ^ {3} + 3 x ^ {2} - 2 x)} }\\ { g = 8 x }\\ { h = g }\\ { i = h }\\ { j = i }\\ { k = j }\\ { l = k }\\ { \text{Solve for } m \text{ where} } \\ { m = l } \end{array} \right.$$

Solvi għal f, x, g, h, j, k, l, m

$$m=i$$

Passi tas-Soluzzjonijiet

Ikkunsidra r-raba' ekwazzjoni. Ibdel in-naħat sabiex it-termini varjabbli kollha jkunu fuq in-naħa tax-xellug.

$$h=i$$

Ikkunsidra t-tielet ekwazzjoni. Inserixxi l-valuri magħrufa tal-varjabbli fl-ekwazzjoni.

$$i=g$$

Ibdel in-naħat sabiex it-termini varjabbli kollha jkunu fuq in-naħa tax-xellug.

$$g=i$$

Ikkunsidra t-tieni ekwazzjoni. Inserixxi l-valuri magħrufa tal-varjabbli fl-ekwazzjoni.

$$i=8x$$

Iddividi ż-żewġ naħat b'8.

$$\frac{i}{8}=x$$

Iddividi i b'8 biex tikseb\frac{1}{8}i.

$$\frac{1}{8}i=x$$

Ibdel in-naħat sabiex it-termini varjabbli kollha jkunu fuq in-naħa tax-xellug.

$$x=\frac{1}{8}i$$

Ikkunsidra l-ewwel ekwazzjoni. Inserixxi l-valuri magħrufa tal-varjabbli fl-ekwazzjoni.

$$f\times \left(\frac{1}{8}i\right)=20\left(2\times \left(\frac{1}{8}i\right)^{3}+3\times \left(\frac{1}{8}i\right)^{2}-2\times \left(\frac{1}{8}i\right)\right)$$

Ikkalkula \frac{1}{8}i bil-power ta' 3 u tikseb -\frac{1}{512}i.

$$f\times \left(\frac{1}{8}i\right)=20\left(2\times \left(-\frac{1}{512}i\right)+3\times \left(\frac{1}{8}i\right)^{2}-2\times \left(\frac{1}{8}i\right)\right)$$

Immultiplika 2 u -\frac{1}{512}i biex tikseb -\frac{1}{256}i.

$$f\times \left(\frac{1}{8}i\right)=20\left(-\frac{1}{256}i+3\times \left(\frac{1}{8}i\right)^{2}-2\times \left(\frac{1}{8}i\right)\right)$$

Ikkalkula \frac{1}{8}i bil-power ta' 2 u tikseb -\frac{1}{64}.

$$f\times \left(\frac{1}{8}i\right)=20\left(-\frac{1}{256}i+3\left(-\frac{1}{64}\right)-2\times \left(\frac{1}{8}i\right)\right)$$

Immultiplika 3 u -\frac{1}{64} biex tikseb -\frac{3}{64}.

$$f\times \left(\frac{1}{8}i\right)=20\left(-\frac{1}{256}i-\frac{3}{64}-2\times \left(\frac{1}{8}i\right)\right)$$

Immultiplika -2 u \frac{1}{8}i biex tikseb -\frac{1}{4}i.

$$f\times \left(\frac{1}{8}i\right)=20\left(-\frac{1}{256}i-\frac{3}{64}-\frac{1}{4}i\right)$$

Agħmel l-addizzjonijiet fi -\frac{1}{256}i-\frac{3}{64}-\frac{1}{4}i.

$$f\times \left(\frac{1}{8}i\right)=20\left(-\frac{3}{64}-\frac{65}{256}i\right)$$

Immultiplika 20 u -\frac{3}{64}-\frac{65}{256}i biex tikseb -\frac{15}{16}-\frac{325}{64}i.

$$f\times \left(\frac{1}{8}i\right)=-\frac{15}{16}-\frac{325}{64}i$$

Iddividi ż-żewġ naħat b'\frac{1}{8}i.

$$f=\frac{-\frac{15}{16}-\frac{325}{64}i}{\frac{1}{8}i}$$

Immultiplika kemm in-numeratur u d-denominatur ta' \frac{-\frac{15}{16}-\frac{325}{64}i}{\frac{1}{8}i} bl-unità immaġinarja i.

$$f=\frac{\frac{325}{64}-\frac{15}{16}i}{-\frac{1}{8}}$$

Iddividi \frac{325}{64}-\frac{15}{16}i b'-\frac{1}{8} biex tikseb-\frac{325}{8}+\frac{15}{2}i.

$$f=-\frac{325}{8}+\frac{15}{2}i$$

Is-sistema issa solvuta.

$$f=-\frac{325}{8}+\frac{15}{2}i x=\frac{1}{8}i g=i h=i j=i k=i l=i m=i$$