Issolvi 20000=10000*1.015^8+x*1.015^3

$$20000 = 10000 \cdot 1.015 ^ { 8 } + x \cdot 1.015 ^ { 3 }$$

Solvi għal x

$$x = \frac{2236178978316014239}{267693664000000} = 8353\frac{133802924014336}{267693664000000} \approx 8353.499835977$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Ikkalkula 1.015 bil-power ta' 8 u tikseb 1.126492586595306937890625.

$$20000=10000\times 1.126492586595306937890625+x\times 1.015^{3}$$

Immultiplika 10000 u 1.126492586595306937890625 biex tikseb 11264.92586595306937890625.

$$20000=11264.92586595306937890625+x\times 1.015^{3}$$

Ikkalkula 1.015 bil-power ta' 3 u tikseb 1.045678375.

$$20000=11264.92586595306937890625+x\times 1.045678375$$

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

$$11264.92586595306937890625+x\times 1.045678375=20000$$

Naqqas 11264.92586595306937890625 miż-żewġ naħat.

$$x\times 1.045678375=20000-11264.92586595306937890625$$

Naqqas 11264.92586595306937890625 minn 20000 biex tikseb 8735.07413404693062109375.

$$x\times 1.045678375=8735.07413404693062109375$$

Iddividi ż-żewġ naħat b'1.045678375.

$$x=\frac{8735.07413404693062109375}{1.045678375}$$

Espandi \frac{8735.07413404693062109375}{1.045678375} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'100000000000000000000.

$$x=\frac{873507413404693062109375}{104567837500000000000}$$

Naqqas il-frazzjoni \frac{873507413404693062109375}{104567837500000000000} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 390625.

$$x=\frac{2236178978316014239}{267693664000000}$$