x-2/x+7=x-6/3x+21

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Solution for x-2/x+7=x-6/3x+21 equation:


D( x )

x = 0

x = 0

x = 0

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

x-(2/x)+7 = x-((6/3)*x)+21 // - x-((6/3)*x)+21

x-x+(6/3)*x-(2/x)-21+7 = 0

x-x+(6/3)*x-2*x^-1-21+7 = 0

2*x^1-2*x^-1-14*x^0 = 0

(2*x^2-14*x^1-2*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^2-14*x^1-2*x^0) = 0

x^1

2*x^2-14*x-2 = 0

2*x^2-14*x-2 = 0

DELTA = (-14)^2-(-2*2*4)

DELTA = 212

DELTA > 0

x = (212^(1/2)+14)/(2*2) or x = (14-212^(1/2))/(2*2)

x = (2*53^(1/2)+14)/4 or x = (14-2*53^(1/2))/4

x in { (14-2*53^(1/2))/4, (2*53^(1/2)+14)/4}

x in { (14-2*53^(1/2))/4, (2*53^(1/2)+14)/4 }

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