v-1/v-4=7/4

Solution for v-1/v-4=7/4 equation:

D( v )

v = 0

v = 0

v = 0

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

v-(1/v)-4 = 7/4 // - 7/4

v-(1/v)-(7/4)-4 = 0

v-v^-1-7/4-4 = 0

1*v^1-1*v^-1-23/4*v^0 = 0

(1*v^2-23/4*v^1-1*v^0)/(v^1) = 0 // * v^2

v^1*(1*v^2-23/4*v^1-1*v^0) = 0

v^1

v^2+(-23/4)*v-1 = 0

v^2+(-23/4)*v-1 = 0

DELTA = (-23/4)^2-(-1*1*4)

DELTA = 593/16

DELTA > 0

v = ((593/16)^(1/2)-(-23/4))/(1*2) or v = (-(-23/4)-(593/16)^(1/2))/(1*2)

v = ((593/16)^(1/2)+23/4)/2 or v = (23/4-(593/16)^(1/2))/2

v in { (23/4-(593/16)^(1/2))/2, ((593/16)^(1/2)+23/4)/2} 

v in { (23/4-(593/16)^(1/2))/2, ((593/16)^(1/2)+23/4)/2 }