2x+16/x+24

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Solution for 2x+16/x+24 equation: 


D( x )

x = 0

x = 0

x = 0

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

2*x+16/x+24 = 0

2*x^1+16*x^-1+24*x^0 = 0

(2*x^2+24*x^1+16*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^2+24*x^1+16*x^0) = 0

x^1

2*x^2+24*x+16 = 0

2*x^2+24*x+16 = 0

DELTA = 24^2-(2*4*16)

DELTA = 448

DELTA > 0

x = (448^(1/2)-24)/(2*2) or x = (-448^(1/2)-24)/(2*2)

x = (8*7^(1/2)-24)/4 or x = (-8*7^(1/2)-24)/4

x in { (-8*7^(1/2)-24)/4, (8*7^(1/2)-24)/4} 

x in { (-8*7^(1/2)-24)/4, (8*7^(1/2)-24)/4 }

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