What is the answer to (625)/(p^3)=5 ?

The answer to (625)/(p^3)=5 is p=5,p=-5/2+(5sqrt(3))/2 i,p=-5/2-(5sqrt(3))/2 i

Solve for p: (625)/(p^3)=5

The solution is p=5,p=-5/2+(5sqrt(3))/2 i,p=-5/2-(5sqrt(3))/2 i

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\frac{625}{p ^{3}} = 5

p = 5, p = - \frac{5}{2} + \frac{5 3}{2} i, p = - \frac{5}{2} - \frac{5 3}{2} i

Solution steps

\frac{625}{p ^{3}} = 5

Multiply both sides by

p^{3}

625 = 5 p^{3}

Solve

625 = 5 p^{3} : p = 5, p = - \frac{5}{2} + \frac{5 3}{2} i, p = - \frac{5}{2} - \frac{5 3}{2} i

p = 5, p = - \frac{5}{2} + \frac{5 3}{2} i, p = - \frac{5}{2} - \frac{5 3}{2} i

Verify Solutions

Find undefined (singularity) points:

p = 0

Combine undefined points with solutions:

p = 5, p = - \frac{5}{2} + \frac{5 3}{2} i, p = - \frac{5}{2} - \frac{5 3}{2} i

P = \frac{R - C}{N} (R)

v, \frac{s}{v e} - 0 = L

\frac{7}{2 x - 5} = \frac{4}{x + 5}

\frac{9}{u} = 6

\frac{x - 2}{x + 1} = 5

What is the answer to (625)/(p^3)=5 ?
The answer to (625)/(p^3)=5 is p=5,p=-5/2+(5sqrt(3))/2 i,p=-5/2-(5sqrt(3))/2 i
Solve for p: (625)/(p^3)=5
The solution is p=5,p=-5/2+(5sqrt(3))/2 i,p=-5/2-(5sqrt(3))/2 i