2x-(24/x)=-8

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Solution for 2x-(24/x)=-8 equation: 


D( x )

x = 0

x = 0

x = 0

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

2*x-(24/x) = -8 // + 8

2*x-(24/x)+8 = 0

2*x-24*x^-1+8 = 0

2*x^1-24*x^-1+8*x^0 = 0

(2*x^2+8*x^1-24*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^2+8*x^1-24*x^0) = 0

x^1

2*x^2+8*x-24 = 0

2*x^2+8*x-24 = 0

DELTA = 8^2-(-24*2*4)

DELTA = 256

DELTA > 0

x = (256^(1/2)-8)/(2*2) or x = (-256^(1/2)-8)/(2*2)

x = 2 or x = -6

x in { -6, 2} 

x in { -6, 2 }

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