Solve the following equation for x: c

Question

Solve the following equation for x:

Answer 1

x^2/( 1/4 - x) = C = 1.8 * 10^(-5)

x^2 = C( 1/4 - x)

4x^2 = C(1 - 4x)

4x^2 + 4x - C = 0

x = [-4 +or- sqrt ( 16 + 16c) ] / 8

= [ -4 +or- 4 sqrt(1+c)]/ 8

= [-1 +or- sqrt(1+c)]/2