y=x+6/3x-15-6/x-5-2/3

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Solution for y=x+6/3x-15-6/x-5-2/3 equation:


D( x )

x = 0

x = 0

x = 0

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

y = x+(6/3)*x-(6/x)-(2/3)-15-5 // - x+(6/3)*x-(6/x)-(2/3)-15-5

6/x-x-((6/3)*x)+y+2/3+5+15 = 0

6/x-x-2*x+y+2/3+5+15 = 0

6*x^-1-3*x^1+62/3*x^0 = 0

(62/3*x^1-3*x^2+6*x^0)/(x^1) = 0 // * x^2

x^1*(62/3*x^1-3*x^2+6*x^0) = 0

x^1

(62/3)*x-3*x^2+6 = 0

(62/3)*x-3*x^2+6 = 0

DELTA = (62/3)^2-(-3*4*6)

DELTA = 4492/9

DELTA > 0

x = ((4492/9)^(1/2)-(62/3))/(-3*2) or x = (-(62/3)-(4492/9)^(1/2))/(-3*2)

x = ((4492/9)^(1/2)-62/3)/(-6) or x = ((4492/9)^(1/2)+62/3)/6

x in { ((4492/9)^(1/2)-62/3)/(-6), ((4492/9)^(1/2)+62/3)/6}

x in { ((4492/9)^(1/2)-62/3)/(-6), ((4492/9)^(1/2)+62/3)/6 }

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