2x=10/x+8

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Solution for 2x=10/x+8 equation: 


D( x )

x = 0

x = 0

x = 0

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

2*x = 10/x+8 // - 10/x+8

2*x-(10/x)-8 = 0

2*x-10*x^-1-8 = 0

2*x^1-10*x^-1-8*x^0 = 0

(2*x^2-8*x^1-10*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^2-8*x^1-10*x^0) = 0

x^1

2*x^2-8*x-10 = 0

2*x^2-8*x-10 = 0

DELTA = (-8)^2-(-10*2*4)

DELTA = 144

DELTA > 0

x = (144^(1/2)+8)/(2*2) or x = (8-144^(1/2))/(2*2)

x = 5 or x = -1

x in { -1, 5} 

x in { -1, 5 }

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