12-7x=1/x

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Solution for 12-7x=1/x equation:


D( x )

x = 0

x = 0

x = 0

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

12-(7*x) = 1/x // - 1/x

12-(7*x)-(1/x) = 0

12-7*x-x^-1 = 0

12*x^0-7*x^1-1*x^-1 = 0

(12*x^1-7*x^2-1*x^0)/(x^1) = 0 // * x^2

x^1*(12*x^1-7*x^2-1*x^0) = 0

x^1

12*x-7*x^2-1 = 0

12*x-7*x^2-1 = 0

DELTA = 12^2-(-7*(-1)*4)

DELTA = 116

DELTA > 0

x = (116^(1/2)-12)/(-7*2) or x = (-116^(1/2)-12)/(-7*2)

x = (2*29^(1/2)-12)/(-14) or x = (-2*29^(1/2)-12)/(-14)

x in { (2*29^(1/2)-12)/(-14), (-2*29^(1/2)-12)/(-14)}

x in { (2*29^(1/2)-12)/(-14), (-2*29^(1/2)-12)/(-14) }

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