2/(x-9)-2/(x)=18/(x2-9x)

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Solution for 2/(x-9)-2/(x)=18/(x2-9x) equation:


D( x )

x = 0

x^2-(9*x) = 0

x-9 = 0

x = 0

x = 0

x^2-(9*x) = 0

x^2-(9*x) = 0

x^2-9*x = 0

x^2-9*x = 0

DELTA = (-9)^2-(0*1*4)

DELTA = 81

DELTA > 0

x = (81^(1/2)+9)/(1*2) or x = (9-81^(1/2))/(1*2)

x = 9 or x = 0

x-9 = 0

x-9 = 0

x-9 = 0 // + 9

x = 9

x in (-oo:0) U (0:9) U (9:+oo)

2/(x-9)-(2/x) = 18/(x^2-(9*x)) // - 18/(x^2-(9*x))

2/(x-9)-(18/(x^2-(9*x)))-(2/x) = 0

2/(x-9)-18*(x^2-9*x)^-1-2*x^-1 = 0

2/(x-9)-18/(x^2-9*x)-2/x = 0

x^2-9*x = 0

x^2-9*x = 0

x*(x-9) = 0

x-9 = 0 // + 9

x = 9

x*(x-9) = 0

2/(x-9)-18/(x*(x-9))-2/x = 0

(2*x)/(x*(x-9))-18/(x*(x-9))+(-2*(x-9))/(x*(x-9)) = 0

2*x-2*(x-9)-18 = 0

2*x-2*x-18+18 = 0

0 = 0

0/(x*(x-9)) = 0

0/(x*(x-9)) = 0 // * x*(x-9)

0 = 0

x belongs to the empty set

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