4x+7/x-2=12

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Solution for 4x+7/x-2=12 equation: 


D( x )

x = 0

x = 0

x = 0

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

4*x+7/x-2 = 12 // - 12

4*x+7/x-12-2 = 0

4*x^1+7*x^-1-14*x^0 = 0

(4*x^2-14*x^1+7*x^0)/(x^1) = 0 // * x^2

x^1*(4*x^2-14*x^1+7*x^0) = 0

x^1

4*x^2-14*x+7 = 0

4*x^2-14*x+7 = 0

DELTA = (-14)^2-(4*4*7)

DELTA = 84

DELTA > 0

x = (84^(1/2)+14)/(2*4) or x = (14-84^(1/2))/(2*4)

x = (2*21^(1/2)+14)/8 or x = (14-2*21^(1/2))/8

x in { (14-2*21^(1/2))/8, (2*21^(1/2)+14)/8} 

x in { (14-2*21^(1/2))/8, (2*21^(1/2)+14)/8 }

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