1/x+1/(x+11)=1/6

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Solution for 1/x+1/(x+11)=1/6 equation: 


D( x )

x+11 = 0

x = 0

x+11 = 0

x+11 = 0

x+11 = 0 // - 11

x = -11

x = 0

x = 0

x in (-oo:-11) U (-11:0) U (0:+oo)

1/(x+11)+1/x = 1/6 // - 1/6

1/(x+11)+1/x-(1/6) = 0

1/(x+11)+1/x-1/6 = 0

(1*6*x)/(6*x*(x+11))+(1*6*(x+11))/(6*x*(x+11))+(-1*x*(x+11))/(6*x*(x+11)) = 0

1*6*(x+11)-1*x*(x+11)+1*6*x = 0

12*x-x^2-11*x+66 = 0

x-x^2+66 = 0

x-x^2+66 = 0

x-x^2+66 = 0

DELTA = 1^2-(-1*4*66)

DELTA = 265

DELTA > 0

x = (265^(1/2)-1)/(-1*2) or x = (-265^(1/2)-1)/(-1*2)

x = (265^(1/2)-1)/(-2) or x = (265^(1/2)+1)/2

(x-((265^(1/2)-1)/(-2)))*(x-((265^(1/2)+1)/2)) = 0

((x-((265^(1/2)-1)/(-2)))*(x-((265^(1/2)+1)/2)))/(6*x*(x+11)) = 0

((x-((265^(1/2)-1)/(-2)))*(x-((265^(1/2)+1)/2)))/(6*x*(x+11)) = 0 // * 6*x*(x+11)

(x-((265^(1/2)-1)/(-2)))*(x-((265^(1/2)+1)/2)) = 0

( x-((265^(1/2)+1)/2) )

x-((265^(1/2)+1)/2) = 0 // + (265^(1/2)+1)/2

x = (265^(1/2)+1)/2

( x-((265^(1/2)-1)/(-2)) )

x-((265^(1/2)-1)/(-2)) = 0 // + (265^(1/2)-1)/(-2)

x = (265^(1/2)-1)/(-2)

x in { (265^(1/2)+1)/2, (265^(1/2)-1)/(-2) }

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