12-4x=1/x

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Solution for 12-4x=1/x equation:


D( x )

x = 0

x = 0

x = 0

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

12-(4*x) = 1/x // - 1/x

12-(4*x)-(1/x) = 0

12-4*x-x^-1 = 0

12*x^0-4*x^1-1*x^-1 = 0

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

x^1*(12*x^1-4*x^2-1*x^0) = 0

x^1

12*x-4*x^2-1 = 0

12*x-4*x^2-1 = 0

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

DELTA = 128

DELTA > 0

x = (128^(1/2)-12)/(-4*2) or x = (-128^(1/2)-12)/(-4*2)

x = (8*2^(1/2)-12)/(-8) or x = (-8*2^(1/2)-12)/(-8)

x in { (8*2^(1/2)-12)/(-8), (-8*2^(1/2)-12)/(-8)}

x in { (8*2^(1/2)-12)/(-8), (-8*2^(1/2)-12)/(-8) }

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