(46/x)+4x-4=180

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Solution for (46/x)+4x-4=180 equation:


D( x )

x = 0

x = 0

x = 0

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

4*x+46/x-4 = 180 // - 180

4*x+46/x-180-4 = 0

4*x^1+46*x^-1-184*x^0 = 0

(4*x^2-184*x^1+46*x^0)/(x^1) = 0 // * x^2

x^1*(4*x^2-184*x^1+46*x^0) = 0

x^1

4*x^2-184*x+46 = 0

4*x^2-184*x+46 = 0

DELTA = (-184)^2-(4*4*46)

DELTA = 33120

DELTA > 0

x = (33120^(1/2)+184)/(2*4) or x = (184-33120^(1/2))/(2*4)

x = (12*230^(1/2)+184)/8 or x = (184-12*230^(1/2))/8

x in { (184-12*230^(1/2))/8, (12*230^(1/2)+184)/8}

x in { (184-12*230^(1/2))/8, (12*230^(1/2)+184)/8 }

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