x-(1/x)-(63/8)

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Solution for x-(1/x)-(63/8) equation: 


D( x )

x = 0

x = 0

x = 0

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

x-(1/x)-(63/8) = 0

x-x^-1-63/8 = 0

1*x^1-1*x^-1-63/8*x^0 = 0

(1*x^2-63/8*x^1-1*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-63/8*x^1-1*x^0) = 0

x^1

x^2+(-63/8)*x-1 = 0

x^2+(-63/8)*x-1 = 0

DELTA = (-63/8)^2-(-1*1*4)

DELTA = 4225/64

DELTA > 0

x = ((4225/64)^(1/2)-(-63/8))/(1*2) or x = (-(-63/8)-(4225/64)^(1/2))/(1*2)

x = 8 or x = -1/8

x in { -1/8, 8} 

x in { -1/8, 8 }

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