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

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

Lahendage ja leidke x

$$x = \frac{2236178978316014239}{267693664000000} = 8353\frac{133802924014336}{267693664000000} \approx 8353,499835977$$

Juhised lineaarvõrrandi lahendamiseks

Arvutage 8 aste 1,015 ja leidke 1,126492586595306937890625.

$$20000=10000\times 1,126492586595306937890625+x\times 1,015^{3}$$

Korrutage 10000 ja 1,126492586595306937890625, et leida 11264,92586595306937890625.

$$20000=11264,92586595306937890625+x\times 1,015^{3}$$

Arvutage 3 aste 1,015 ja leidke 1,045678375.

$$20000=11264,92586595306937890625+x\times 1,045678375$$

Vahetage pooled nii, et kõik muutuvad liikmed asuksid vasakul.

$$11264,92586595306937890625+x\times 1,045678375=20000$$

Lahutage mõlemast poolest 11264,92586595306937890625.

$$x\times 1,045678375=20000-11264,92586595306937890625$$

Lahutage 11264,92586595306937890625 väärtusest 20000, et leida 8735,07413404693062109375.

$$x\times 1,045678375=8735,07413404693062109375$$

Jagage mõlemad pooled 1,045678375-ga.

$$x=\frac{8735,07413404693062109375}{1,045678375}$$

Saate \frac{8735,07413404693062109375}{1,045678375} laiendada, korrutades nii lugeja kui ka nimetaja 100000000000000000000.

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

Taandage murd \frac{873507413404693062109375}{104567837500000000000} vähimale ühiskordsele, eraldades ja taandades arvu 390625.

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