x-5/x=3/8

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Solution for x-5/x=3/8 equation: 


D( x )

x = 0

x = 0

x = 0

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

x-(5/x) = 3/8 // - 3/8

x-(5/x)-(3/8) = 0

x-5*x^-1-3/8 = 0

1*x^1-5*x^-1-3/8*x^0 = 0

(1*x^2-3/8*x^1-5*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-3/8*x^1-5*x^0) = 0

x^1

x^2+(-3/8)*x-5 = 0

x^2+(-3/8)*x-5 = 0

DELTA = (-3/8)^2-(-5*1*4)

DELTA = 1289/64

DELTA > 0

x = ((1289/64)^(1/2)-(-3/8))/(1*2) or x = (-(-3/8)-(1289/64)^(1/2))/(1*2)

x = ((1289/64)^(1/2)+3/8)/2 or x = (3/8-(1289/64)^(1/2))/2

x in { (3/8-(1289/64)^(1/2))/2, ((1289/64)^(1/2)+3/8)/2} 

x in { (3/8-(1289/64)^(1/2))/2, ((1289/64)^(1/2)+3/8)/2 }

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