6x-4=38/x-5

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Solution for 6x-4=38/x-5 equation:


D( x )

x = 0

x = 0

x = 0

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

6*x-4 = 38/x-5 // - 38/x-5

6*x-(38/x)-4+5 = 0

6*x-38*x^-1-4+5 = 0

6*x^1-38*x^-1+1*x^0 = 0

(6*x^2+1*x^1-38*x^0)/(x^1) = 0 // * x^2

x^1*(6*x^2+1*x^1-38*x^0) = 0

x^1

6*x^2+x-38 = 0

6*x^2+x-38 = 0

DELTA = 1^2-(-38*4*6)

DELTA = 913

DELTA > 0

x = (913^(1/2)-1)/(2*6) or x = (-913^(1/2)-1)/(2*6)

x = (913^(1/2)-1)/12 or x = (-(913^(1/2)+1))/12

x in { (-(913^(1/2)+1))/12, (913^(1/2)-1)/12}

x in { (-(913^(1/2)+1))/12, (913^(1/2)-1)/12 }

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