2x+8/x+9

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Solution for 2x+8/x+9 equation: 


D( x )

x = 0

x = 0

x = 0

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

2*x+8/x+9 = 0

2*x^1+8*x^-1+9*x^0 = 0

(2*x^2+9*x^1+8*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^2+9*x^1+8*x^0) = 0

x^1

2*x^2+9*x+8 = 0

2*x^2+9*x+8 = 0

DELTA = 9^2-(2*4*8)

DELTA = 17

DELTA > 0

x = (17^(1/2)-9)/(2*2) or x = (-17^(1/2)-9)/(2*2)

x = (17^(1/2)-9)/4 or x = (-(17^(1/2)+9))/4

x in { (-(17^(1/2)+9))/4, (17^(1/2)-9)/4} 

x in { (-(17^(1/2)+9))/4, (17^(1/2)-9)/4 }

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