Issolvi 100=F+F1.618+F2.618

$$100 = F+F1.618+F2.618$$

Solvi għal F

$$F=-\frac{309F_{1}}{500}-\frac{309F_{2}}{500}+100$$

Passi tas-Soluzzjonijiet

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

$$F+F_{1}\times 0.618+F_{2}\times 0.618=100$$

Naqqas F_{1}\times 0.618 miż-żewġ naħat.

$$F+F_{2}\times 0.618=100-F_{1}\times 0.618$$

Naqqas F_{2}\times 0.618 miż-żewġ naħat.

$$F=100-F_{1}\times 0.618-F_{2}\times 0.618$$

Immultiplika -1 u 0.618 biex tikseb -0.618.

$$F=100-0.618F_{1}-F_{2}\times 0.618$$

Immultiplika -1 u 0.618 biex tikseb -0.618.

$$F=100-0.618F_{1}-0.618F_{2}$$

Solvi għal F_1

$$F_{1}=-\frac{500F}{309}-F_{2}+\frac{50000}{309}$$

Passi biex Issolvi l-Ekwazzjoni Lineari

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

$$F+F_{1}\times 0.618+F_{2}\times 0.618=100$$

Naqqas F miż-żewġ naħat.

$$F_{1}\times 0.618+F_{2}\times 0.618=100-F$$

Naqqas F_{2}\times 0.618 miż-żewġ naħat.

$$F_{1}\times 0.618=100-F-F_{2}\times 0.618$$

Immultiplika -1 u 0.618 biex tikseb -0.618.

$$F_{1}\times 0.618=100-F-0.618F_{2}$$

L-ekwazzjoni hija f'forma standard.

$$0.618F_{1}=-\frac{309F_{2}}{500}-F+100$$

Iddividi ż-żewġ naħat tal-ekwazzjoni b'0.618, li hija l-istess bħal multiplikazzjoni taż-żewġ naħat bir-reċiproku tal-frazzjoni.

$$\frac{0.618F_{1}}{0.618}=\frac{-\frac{309F_{2}}{500}-F+100}{0.618}$$

Meta tiddividi b'0.618 titneħħa l-multiplikazzjoni b'0.618.

$$F_{1}=\frac{-\frac{309F_{2}}{500}-F+100}{0.618}$$

Iddividi 100-F-\frac{309F_{2}}{500} b'0.618 billi timmultiplika 100-F-\frac{309F_{2}}{500} bir-reċiproku ta' 0.618.

$$F_{1}=-\frac{500F}{309}-F_{2}+\frac{50000}{309}$$