4x+(7/x)=29

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Solution for 4x+(7/x)=29 equation: 


D( x )

x = 0

x = 0

x = 0

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

4*x+7/x = 29 // - 29

4*x+7/x-29 = 0

4*x^1+7*x^-1-29*x^0 = 0

(4*x^2-29*x^1+7*x^0)/(x^1) = 0 // * x^2

x^1*(4*x^2-29*x^1+7*x^0) = 0

x^1

4*x^2-29*x+7 = 0

4*x^2-29*x+7 = 0

DELTA = (-29)^2-(4*4*7)

DELTA = 729

DELTA > 0

x = (729^(1/2)+29)/(2*4) or x = (29-729^(1/2))/(2*4)

x = 7 or x = 1/4

x in { 1/4, 7} 

x in { 1/4, 7 }

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