Riješi 368*10^-19=1/2911*10^-31*v^2

$$368 \times 10 ^ { - 19 } = \frac { 1 } { 2 } 911 \times 10 ^ { - 31 } \times v ^ { 2 }$$

Izračunaj v

$$v = \frac{4000000 \sqrt{41906}}{911} \approx 898834,469106524$$

$$v = -\frac{4000000 \sqrt{41906}}{911} \approx -898834,469106524$$

Koraci za postupak traženja kvadratnog korijena

Izračunajte koliko je -19 na 10 da biste dobili \frac{1}{10000000000000000000}.

$$368\times \frac{1}{10000000000000000000}=\frac{1}{2}\times 911\times 10^{-31}v^{2}$$

Pomnožite 368 i \frac{1}{10000000000000000000} da biste dobili \frac{23}{625000000000000000}.

$$\frac{23}{625000000000000000}=\frac{1}{2}\times 911\times 10^{-31}v^{2}$$

Pomnožite \frac{1}{2} i 911 da biste dobili \frac{911}{2}.

$$\frac{23}{625000000000000000}=\frac{911}{2}\times 10^{-31}v^{2}$$

Izračunajte koliko je -31 na 10 da biste dobili \frac{1}{10000000000000000000000000000000}.

$$\frac{23}{625000000000000000}=\frac{911}{2}\times \frac{1}{10000000000000000000000000000000}v^{2}$$

Pomnožite \frac{911}{2} i \frac{1}{10000000000000000000000000000000} da biste dobili \frac{911}{20000000000000000000000000000000}.

$$\frac{23}{625000000000000000}=\frac{911}{20000000000000000000000000000000}v^{2}$$

Zamijenite strane tako da svi izrazi s nepoznanicama budu s lijeve strane.

$$\frac{911}{20000000000000000000000000000000}v^{2}=\frac{23}{625000000000000000}$$

Pomnožite obje strane s \frac{20000000000000000000000000000000}{911}, recipročnim izrazom od \frac{911}{20000000000000000000000000000000}.

$$v^{2}=\frac{23}{625000000000000000}\times \frac{20000000000000000000000000000000}{911}$$

Pomnožite \frac{23}{625000000000000000} i \frac{20000000000000000000000000000000}{911} da biste dobili \frac{736000000000000}{911}.

$$v^{2}=\frac{736000000000000}{911}$$

Izračunajte kvadratni korijen obiju strana jednadžbe.

$$v=\frac{4000000\sqrt{41906}}{911} v=-\frac{4000000\sqrt{41906}}{911}$$

Koraci korištenja kvadratne formule

Izračunajte koliko je -19 na 10 da biste dobili \frac{1}{10000000000000000000}.

$$368\times \frac{1}{10000000000000000000}=\frac{1}{2}\times 911\times 10^{-31}v^{2}$$

Pomnožite 368 i \frac{1}{10000000000000000000} da biste dobili \frac{23}{625000000000000000}.

$$\frac{23}{625000000000000000}=\frac{1}{2}\times 911\times 10^{-31}v^{2}$$

Pomnožite \frac{1}{2} i 911 da biste dobili \frac{911}{2}.

$$\frac{23}{625000000000000000}=\frac{911}{2}\times 10^{-31}v^{2}$$

Izračunajte koliko je -31 na 10 da biste dobili \frac{1}{10000000000000000000000000000000}.

$$\frac{23}{625000000000000000}=\frac{911}{2}\times \frac{1}{10000000000000000000000000000000}v^{2}$$

Pomnožite \frac{911}{2} i \frac{1}{10000000000000000000000000000000} da biste dobili \frac{911}{20000000000000000000000000000000}.

$$\frac{23}{625000000000000000}=\frac{911}{20000000000000000000000000000000}v^{2}$$

Zamijenite strane tako da svi izrazi s nepoznanicama budu s lijeve strane.

$$\frac{911}{20000000000000000000000000000000}v^{2}=\frac{23}{625000000000000000}$$

Oduzmite \frac{23}{625000000000000000} od obiju strana.

$$\frac{911}{20000000000000000000000000000000}v^{2}-\frac{23}{625000000000000000}=0$$

Ova je jednadžba u standardnom obliku: ax^{2}+bx+c=0. U kvadratnoj jednadžbi \frac{-b±\sqrt{b^{2}-4ac}}{2a} zamijenite \frac{911}{20000000000000000000000000000000} s a, 0 s b i -\frac{23}{625000000000000000} s c.

$$v=\frac{0±\sqrt{0^{2}-4\times \frac{911}{20000000000000000000000000000000}\left(-\frac{23}{625000000000000000}\right)}}{2\times \frac{911}{20000000000000000000000000000000}}$$

Kvadrirajte 0.

$$v=\frac{0±\sqrt{-4\times \frac{911}{20000000000000000000000000000000}\left(-\frac{23}{625000000000000000}\right)}}{2\times \frac{911}{20000000000000000000000000000000}}$$

Pomnožite -4 i \frac{911}{20000000000000000000000000000000}.

$$v=\frac{0±\sqrt{-\frac{911}{5000000000000000000000000000000}\left(-\frac{23}{625000000000000000}\right)}}{2\times \frac{911}{20000000000000000000000000000000}}$$

Pomnožite -\frac{911}{5000000000000000000000000000000} i -\frac{23}{625000000000000000} tako da pomnožite brojnik s brojnikom i nazivnik s nazivnikom. Zatim pokratite razlomak ako je to moguće.

$$v=\frac{0±\sqrt{\frac{20953}{3125000000000000000000000000000000000000000000000}}}{2\times \frac{911}{20000000000000000000000000000000}}$$

Izračunajte kvadratni korijen od \frac{20953}{3125000000000000000000000000000000000000000000000}.

$$v=\frac{0±\frac{\sqrt{41906}}{2500000000000000000000000}}{2\times \frac{911}{20000000000000000000000000000000}}$$

Pomnožite 2 i \frac{911}{20000000000000000000000000000000}.

$$v=\frac{0±\frac{\sqrt{41906}}{2500000000000000000000000}}{\frac{911}{10000000000000000000000000000000}}$$

Sada riješite jednadžbu v=\frac{0±\frac{\sqrt{41906}}{2500000000000000000000000}}{\frac{911}{10000000000000000000000000000000}} kad je ± plus.

$$v=\frac{4000000\sqrt{41906}}{911}$$

Sada riješite jednadžbu v=\frac{0±\frac{\sqrt{41906}}{2500000000000000000000000}}{\frac{911}{10000000000000000000000000000000}} kad je ± minus.

$$v=-\frac{4000000\sqrt{41906}}{911}$$

Jednadžba je sada riješena.

$$v=\frac{4000000\sqrt{41906}}{911} v=-\frac{4000000\sqrt{41906}}{911}$$