3x-24/x-8

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Solution for 3x-24/x-8 equation: 


D( x )

x = 0

x = 0

x = 0

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

3*x-(24/x)-8 = 0

3*x-24*x^-1-8 = 0

3*x^1-24*x^-1-8*x^0 = 0

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

x^1*(3*x^2-8*x^1-24*x^0) = 0

x^1

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

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

DELTA = (-8)^2-(-24*3*4)

DELTA = 352

DELTA > 0

x = (352^(1/2)+8)/(2*3) or x = (8-352^(1/2))/(2*3)

x = (4*22^(1/2)+8)/6 or x = (8-4*22^(1/2))/6

x in { (8-4*22^(1/2))/6, (4*22^(1/2)+8)/6} 

x in { (8-4*22^(1/2))/6, (4*22^(1/2)+8)/6 }

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