Solve for the indicated variable Assume the variable you are

Solve for the indicated variable. Assume the variable you are solving for must be greater than 0.

Solution

p = sqrt( q^2 + 4r^2)

solving for q:

square both sides:

p^2 = q^2 + 4r^2

q^2 = p^2 - 4r^2

q = sqrt( p^2 - 4r^2)