((5x-22)/(x^2-6x))-((11)/(x^2-63x))-(5/x)

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Solution for ((5x-22)/(x^2-6x))-((11)/(x^2-63x))-(5/x) equation:


D( x )

x^2-(6*x) = 0

x = 0

x^2-(63*x) = 0

x^2-(6*x) = 0

x^2-(6*x) = 0

x^2-6*x = 0

x^2-6*x = 0

DELTA = (-6)^2-(0*1*4)

DELTA = 36

DELTA > 0

x = (36^(1/2)+6)/(1*2) or x = (6-36^(1/2))/(1*2)

x = 6 or x = 0

x = 0

x = 0

x^2-(63*x) = 0

x^2-(63*x) = 0

x^2-63*x = 0

x^2-63*x = 0

DELTA = (-63)^2-(0*1*4)

DELTA = 3969

DELTA > 0

x = (3969^(1/2)+63)/(1*2) or x = (63-3969^(1/2))/(1*2)

x = 63 or x = 0

x in (-oo:0) U (0:6) U (6:63) U (63:+oo)

(5*x-22)/(x^2-(6*x))-(11/(x^2-(63*x)))-(5/x) = 0

(5*x-22)/(x^2-6*x)-11*(x^2-63*x)^-1-5*x^-1 = 0

(5*x-22)/(x^2-6*x)-11/(x^2-63*x)-5/x = 0

x^2-6*x = 0

x^2-6*x = 0

x*(x-6) = 0

x-6 = 0 // + 6

x = 6

x*(x-6) = 0

x^2-63*x = 0

x^2-63*x = 0

x*(x-63) = 0

x-63 = 0 // + 63

x = 63

x*(x-63) = 0

(5*x-22)/(x*(x-6))-11/(x*(x-63))-5/x = 0

(5*x-22)/(x*(x-6))+(-11*(x-6))/(x*(x-6))+(-5*(x-6))/(x*(x-6)) = 0

5*x-11*(x-6)-5*(x-6)-22 = 0

30-6*x-5*x+44 = 0

74-11*x = 0

(74-11*x)/(x*(x-6)) = 0

(74-11*x)/(x*(x-6)) = 0 // * x*(x-6)

74-11*x = 0

74-11*x = 0 // - 74

-11*x = -74 // : -11

x = -74/(-11)

x = 74/11

x = 74/11

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