3x=78-360/x

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Solution for 3x=78-360/x equation: 


D( x )

x = 0

x = 0

x = 0

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

3*x = 78-(360/x) // - 78-(360/x)

3*x+360/x-78 = 0

3*x^1+360*x^-1-78*x^0 = 0

(3*x^2-78*x^1+360*x^0)/(x^1) = 0 // * x^2

x^1*(3*x^2-78*x^1+360*x^0) = 0

x^1

3*x^2-78*x+360 = 0

3*x^2-78*x+360 = 0

DELTA = (-78)^2-(3*4*360)

DELTA = 1764

DELTA > 0

x = (1764^(1/2)+78)/(2*3) or x = (78-1764^(1/2))/(2*3)

x = 20 or x = 6

x in { 6, 20} 

x in { 6, 20 }

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