x-2/x+4=7/8

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Solution for x-2/x+4=7/8 equation: 


D( x )

x = 0

x = 0

x = 0

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

x-(2/x)+4 = 7/8 // - 7/8

x-(2/x)-(7/8)+4 = 0

x-2*x^-1-7/8+4 = 0

1*x^1-2*x^-1+25/8*x^0 = 0

(1*x^2+25/8*x^1-2*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2+25/8*x^1-2*x^0) = 0

x^1

x^2+(25/8)*x-2 = 0

x^2+(25/8)*x-2 = 0

DELTA = (25/8)^2-(-2*1*4)

DELTA = 1137/64

DELTA > 0

x = ((1137/64)^(1/2)-(25/8))/(1*2) or x = (-(25/8)-(1137/64)^(1/2))/(1*2)

x = ((1137/64)^(1/2)-25/8)/2 or x = (-((1137/64)^(1/2)+25/8))/2

x in { (-((1137/64)^(1/2)+25/8))/2, ((1137/64)^(1/2)-25/8)/2} 

x in { (-((1137/64)^(1/2)+25/8))/2, ((1137/64)^(1/2)-25/8)/2 }

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