3x-31/x+6

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Solution for 3x-31/x+6 equation: 


D( x )

x = 0

x = 0

x = 0

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

3*x-(31/x)+6 = 0

3*x-31*x^-1+6 = 0

3*x^1-31*x^-1+6*x^0 = 0

(3*x^2+6*x^1-31*x^0)/(x^1) = 0 // * x^2

x^1*(3*x^2+6*x^1-31*x^0) = 0

x^1

3*x^2+6*x-31 = 0

3*x^2+6*x-31 = 0

DELTA = 6^2-(-31*3*4)

DELTA = 408

DELTA > 0

x = (408^(1/2)-6)/(2*3) or x = (-408^(1/2)-6)/(2*3)

x = (2*102^(1/2)-6)/6 or x = (-2*102^(1/2)-6)/6

x in { (-2*102^(1/2)-6)/6, (2*102^(1/2)-6)/6} 

x in { (-2*102^(1/2)-6)/6, (2*102^(1/2)-6)/6 }

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