42x-13=42/x

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Solution for 42x-13=42/x equation: 


D( x )

x = 0

x = 0

x = 0

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

42*x-13 = 42/x // - 42/x

42*x-(42/x)-13 = 0

42*x-42*x^-1-13 = 0

42*x^1-42*x^-1-13*x^0 = 0

(42*x^2-13*x^1-42*x^0)/(x^1) = 0 // * x^2

x^1*(42*x^2-13*x^1-42*x^0) = 0

x^1

42*x^2-13*x-42 = 0

42*x^2-13*x-42 = 0

DELTA = (-13)^2-(-42*4*42)

DELTA = 7225

DELTA > 0

x = (7225^(1/2)+13)/(2*42) or x = (13-7225^(1/2))/(2*42)

x = 7/6 or x = -6/7

x in { -6/7, 7/6} 

x in { -6/7, 7/6 }

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