Riješi x+89*10^9/(365*75)^2=3354*10^15

$$\frac { x + 89 \times 10 ^ { 9 } } { ( 365 \times 75 ) ^ { 2 } } = 3354 \times 10 ^ { 15 }$$

Izračunaj x

$$x=2513456156249999911000000000$$

Koraci rješavanja linearne jednadžbe

Izračunajte koliko je 9 na 10 da biste dobili 1000000000.

$$\frac{x+89\times 1000000000}{\left(365\times 75\right)^{2}}=3354\times 10^{15}$$

Pomnožite 89 i 1000000000 da biste dobili 89000000000.

$$\frac{x+89000000000}{\left(365\times 75\right)^{2}}=3354\times 10^{15}$$

Pomnožite 365 i 75 da biste dobili 27375.

$$\frac{x+89000000000}{27375^{2}}=3354\times 10^{15}$$

Izračunajte koliko je 2 na 27375 da biste dobili 749390625.

$$\frac{x+89000000000}{749390625}=3354\times 10^{15}$$

Izračunajte koliko je 15 na 10 da biste dobili 1000000000000000.

$$\frac{x+89000000000}{749390625}=3354\times 1000000000000000$$

Pomnožite 3354 i 1000000000000000 da biste dobili 3354000000000000000.

$$\frac{x+89000000000}{749390625}=3354000000000000000$$

Podijelite svaki izraz jednadžbe x+89000000000 s 749390625 da biste dobili \frac{1}{749390625}x+\frac{5696000}{47961}.

$$\frac{1}{749390625}x+\frac{5696000}{47961}=3354000000000000000$$

Oduzmite \frac{5696000}{47961} od obiju strana.

$$\frac{1}{749390625}x=3354000000000000000-\frac{5696000}{47961}$$

Oduzmite \frac{5696000}{47961} od 3354000000000000000 da biste dobili \frac{160861193999999994304000}{47961}.

$$\frac{1}{749390625}x=\frac{160861193999999994304000}{47961}$$

Pomnožite obje strane s 749390625, recipročnim izrazom od \frac{1}{749390625}.

$$x=\frac{160861193999999994304000}{47961}\times 749390625$$

Pomnožite \frac{160861193999999994304000}{47961} i 749390625 da biste dobili 2513456156249999911000000000.

$$x=2513456156249999911000000000$$