4/x=12-2x

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


D( x )

x = 0

x = 0

x = 0

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

4/x = 12-(2*x) // - 12-(2*x)

2*x+4/x-12 = 0

2*x^1+4*x^-1-12*x^0 = 0

(2*x^2-12*x^1+4*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^2-12*x^1+4*x^0) = 0

x^1

2*x^2-12*x+4 = 0

2*x^2-12*x+4 = 0

DELTA = (-12)^2-(2*4*4)

DELTA = 112

DELTA > 0

x = (112^(1/2)+12)/(2*2) or x = (12-112^(1/2))/(2*2)

x = (4*7^(1/2)+12)/4 or x = (12-4*7^(1/2))/4

x in { (12-4*7^(1/2))/4, (4*7^(1/2)+12)/4} 

x in { (12-4*7^(1/2))/4, (4*7^(1/2)+12)/4 }

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