x=60/x-4

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Solution for x=60/x-4 equation: 


D( x )

x = 0

x = 0

x = 0

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

x = 60/x-4 // - 60/x-4

x-(60/x)+4 = 0

x-60*x^-1+4 = 0

1*x^1-60*x^-1+4*x^0 = 0

(1*x^2+4*x^1-60*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2+4*x^1-60*x^0) = 0

x^1

x^2+4*x-60 = 0

x^2+4*x-60 = 0

DELTA = 4^2-(-60*1*4)

DELTA = 256

DELTA > 0

x = (256^(1/2)-4)/(1*2) or x = (-256^(1/2)-4)/(1*2)

x = 6 or x = -10

x in { -10, 6} 

x in { -10, 6 }

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