(-1/4w+24)+1=(1/w+6)

Solution for (-1/4w+24)+1=(1/w+6) equation:

D( w )

w = 0

w = 0

w = 0

w in (-oo:0) U (0:+oo)

(-1/4)*w+1+24 = 1/w+6 // - 1/w+6

(-1/4)*w-(1/w)-6+1+24 = 0

(-1/4)*w-w^-1-6+1+24 = 0

19*w^0-1/4*w^1-1*w^-1 = 0

(19*w^1-1/4*w^2-1*w^0)/(w^1) = 0 // * w^2

w^1*(19*w^1-1/4*w^2-1*w^0) = 0

w^1

(-1/4)*w^2+19*w-1 = 0

(-1/4)*w^2+19*w-1 = 0

DELTA = 19^2-(-1*4*(-1/4))

DELTA = 360

DELTA > 0

w = (360^(1/2)-19)/(2*(-1/4)) or w = (-360^(1/2)-19)/(2*(-1/4))

w = -2*(6*10^(1/2)-19) or w = -2*(-6*10^(1/2)-19)

w in { -2*(6*10^(1/2)-19), -2*(-6*10^(1/2)-19)} 

w in { -2*(6*10^(1/2)-19), -2*(-6*10^(1/2)-19) }