Rešite 1000*left(1+006right)^-1+4000*left(1+006right)^-3-10000*left(1+006right)^-7+xleft(1+006right)^-8=0

$$1000 \times { \left(1+006 \right) }^{ -1 } +4000 \times { \left(1+006 \right) }^{ -3 } -10000 \times { \left(1+006 \right) }^{ -7 } +x { \left(1+006 \right) }^{ -8 } =0$$

Rešitev za x

$$x=5000$$

Koraki za reševanje linearnih enačb

Pomnožite 0 in 0, da dobite 0.

$$1000\left(1+0\times 6\right)^{-1}+4000\left(1+0\times 0\times 6\right)^{-3}-10000\left(1+0\times 0\times 6\right)^{-7}+x\left(1+0\times 0\times 6\right)^{-8}=0$$

Pomnožite 0 in 6, da dobite 0.

$$1000\left(1+0\right)^{-1}+4000\left(1+0\times 0\times 6\right)^{-3}-10000\left(1+0\times 0\times 6\right)^{-7}+x\left(1+0\times 0\times 6\right)^{-8}=0$$

Seštejte 1 in 0, da dobite 1.

$$1000\times 1^{-1}+4000\left(1+0\times 0\times 6\right)^{-3}-10000\left(1+0\times 0\times 6\right)^{-7}+x\left(1+0\times 0\times 6\right)^{-8}=0$$

Izračunajte potenco 1 števila -1, da dobite 1.

$$1000\times 1+4000\left(1+0\times 0\times 6\right)^{-3}-10000\left(1+0\times 0\times 6\right)^{-7}+x\left(1+0\times 0\times 6\right)^{-8}=0$$

Pomnožite 1000 in 1, da dobite 1000.

$$1000+4000\left(1+0\times 0\times 6\right)^{-3}-10000\left(1+0\times 0\times 6\right)^{-7}+x\left(1+0\times 0\times 6\right)^{-8}=0$$

Pomnožite 0 in 0, da dobite 0.

$$1000+4000\left(1+0\times 6\right)^{-3}-10000\left(1+0\times 0\times 6\right)^{-7}+x\left(1+0\times 0\times 6\right)^{-8}=0$$

Pomnožite 0 in 6, da dobite 0.

$$1000+4000\left(1+0\right)^{-3}-10000\left(1+0\times 0\times 6\right)^{-7}+x\left(1+0\times 0\times 6\right)^{-8}=0$$

Seštejte 1 in 0, da dobite 1.

$$1000+4000\times 1^{-3}-10000\left(1+0\times 0\times 6\right)^{-7}+x\left(1+0\times 0\times 6\right)^{-8}=0$$

Izračunajte potenco 1 števila -3, da dobite 1.

$$1000+4000\times 1-10000\left(1+0\times 0\times 6\right)^{-7}+x\left(1+0\times 0\times 6\right)^{-8}=0$$

Pomnožite 4000 in 1, da dobite 4000.

$$1000+4000-10000\left(1+0\times 0\times 6\right)^{-7}+x\left(1+0\times 0\times 6\right)^{-8}=0$$

Seštejte 1000 in 4000, da dobite 5000.

$$5000-10000\left(1+0\times 0\times 6\right)^{-7}+x\left(1+0\times 0\times 6\right)^{-8}=0$$

Pomnožite 0 in 0, da dobite 0.

$$5000-10000\left(1+0\times 6\right)^{-7}+x\left(1+0\times 0\times 6\right)^{-8}=0$$

Pomnožite 0 in 6, da dobite 0.

$$5000-10000\left(1+0\right)^{-7}+x\left(1+0\times 0\times 6\right)^{-8}=0$$

Seštejte 1 in 0, da dobite 1.

$$5000-10000\times 1^{-7}+x\left(1+0\times 0\times 6\right)^{-8}=0$$

Izračunajte potenco 1 števila -7, da dobite 1.

$$5000-10000\times 1+x\left(1+0\times 0\times 6\right)^{-8}=0$$

Pomnožite 10000 in 1, da dobite 10000.

$$5000-10000+x\left(1+0\times 0\times 6\right)^{-8}=0$$

Odštejte 10000 od 5000, da dobite -5000.

$$-5000+x\left(1+0\times 0\times 6\right)^{-8}=0$$

Pomnožite 0 in 0, da dobite 0.

$$-5000+x\left(1+0\times 6\right)^{-8}=0$$

Pomnožite 0 in 6, da dobite 0.

$$-5000+x\left(1+0\right)^{-8}=0$$

Seštejte 1 in 0, da dobite 1.

$$-5000+x\times 1^{-8}=0$$

Izračunajte potenco 1 števila -8, da dobite 1.

$$-5000+x\times 1=0$$

Dodajte 5000 na obe strani. Katero koli število, ki mu prištejete nič, ostane enako.

$$x\times 1=5000$$

Prerazporedite člene.

$$x=5000$$