1/x+1/x+11=21/11x+33

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Solution for 1/x+1/x+11=21/11x+33 equation: 


D( x )

x = 0

x = 0

x = 0

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

1/x+1/x+11 = (21/11)*x+33 // - (21/11)*x+33

1/x-((21/11)*x)+1/x-33+11 = 0

(-21/11)*x+1/x+1/x-33+11 = 0

2*x^-1-21/11*x^1-22*x^0 = 0

(2*x^0-21/11*x^2-22*x^1)/(x^1) = 0 // * x^2

x^1*(2*x^0-21/11*x^2-22*x^1) = 0

x^1

(-21/11)*x^2-22*x+2 = 0

(-21/11)*x^2-22*x+2 = 0

DELTA = (-22)^2-(2*4*(-21/11))

DELTA = 5492/11

DELTA > 0

x = ((5492/11)^(1/2)+22)/(2*(-21/11)) or x = (22-(5492/11)^(1/2))/(2*(-21/11))

x = -11/42*((5492/11)^(1/2)+22) or x = -11/42*(22-(5492/11)^(1/2))

x in { -11/42*((5492/11)^(1/2)+22), -11/42*(22-(5492/11)^(1/2))} 

x in { -11/42*((5492/11)^(1/2)+22), -11/42*(22-(5492/11)^(1/2)) }

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