x+3/5=6/x+4

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Solution for x+3/5=6/x+4 equation:


D( x )

x = 0

x = 0

x = 0

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

x+3/5 = 6/x+4 // - 6/x+4

x-(6/x)+3/5-4 = 0

x-6*x^-1+3/5-4 = 0

1*x^1-6*x^-1-17/5*x^0 = 0

(1*x^2-17/5*x^1-6*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-17/5*x^1-6*x^0) = 0

x^1

x^2+(-17/5)*x-6 = 0

x^2+(-17/5)*x-6 = 0

DELTA = (-17/5)^2-(-6*1*4)

DELTA = 889/25

DELTA > 0

x = ((889/25)^(1/2)-(-17/5))/(1*2) or x = (-(-17/5)-(889/25)^(1/2))/(1*2)

x = ((889/25)^(1/2)+17/5)/2 or x = (17/5-(889/25)^(1/2))/2

x in { (17/5-(889/25)^(1/2))/2, ((889/25)^(1/2)+17/5)/2}

x in { (17/5-(889/25)^(1/2))/2, ((889/25)^(1/2)+17/5)/2 }

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