x-4/x+1=7/8

Solution for x-4/x+1=7/8 equation:

D( x )

x = 0

x = 0

x = 0

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

x-(4/x)+1 = 7/8 // - 7/8

x-(4/x)-(7/8)+1 = 0

x-4*x^-1-7/8+1 = 0

1*x^1-4*x^-1+1/8*x^0 = 0

(1*x^2+1/8*x^1-4*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2+1/8*x^1-4*x^0) = 0

x^1

x^2+(1/8)*x-4 = 0

x^2+(1/8)*x-4 = 0

DELTA = (1/8)^2-(-4*1*4)

DELTA = 1025/64

DELTA > 0

x = ((1025/64)^(1/2)-(1/8))/(1*2) or x = (-(1/8)-(1025/64)^(1/2))/(1*2)

x = ((1025/64)^(1/2)-1/8)/2 or x = (-((1025/64)^(1/2)+1/8))/2

x in { (-((1025/64)^(1/2)+1/8))/2, ((1025/64)^(1/2)-1/8)/2} 

x in { (-((1025/64)^(1/2)+1/8))/2, ((1025/64)^(1/2)-1/8)/2 }