-(2/x)=7/(x-9)-1

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Solution for -(2/x)=7/(x-9)-1 equation: 


D( x )

x = 0

x-9 = 0

x = 0

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) = 7/(x-9)-1 // - 7/(x-9)-1

1-(7/(x-9))-(2/x) = 0

1-7*(x-9)^-1-2*x^-1 = 0

1-7/(x-9)-2/x = 0

(-7*x)/(x*(x-9))+(-2*(x-9))/(x*(x-9))+(1*x*(x-9))/(x*(x-9)) = 0

1*x*(x-9)-2*(x-9)-7*x = 0

x^2-9*x-9*x+18 = 0

x^2-18*x+18 = 0

x^2-18*x+18 = 0

x^2-18*x+18 = 0

DELTA = (-18)^2-(1*4*18)

DELTA = 252

DELTA > 0

x = (252^(1/2)+18)/(1*2) or x = (18-252^(1/2))/(1*2)

x = (6*7^(1/2)+18)/2 or x = (18-6*7^(1/2))/2

(x-((18-6*7^(1/2))/2))*(x-((6*7^(1/2)+18)/2)) = 0

((x-((18-6*7^(1/2))/2))*(x-((6*7^(1/2)+18)/2)))/(x*(x-9)) = 0

((x-((18-6*7^(1/2))/2))*(x-((6*7^(1/2)+18)/2)))/(x*(x-9)) = 0 // * x*(x-9)

(x-((18-6*7^(1/2))/2))*(x-((6*7^(1/2)+18)/2)) = 0

( x-((18-6*7^(1/2))/2) )

x-((18-6*7^(1/2))/2) = 0 // + (18-6*7^(1/2))/2

x = (18-6*7^(1/2))/2

( x-((6*7^(1/2)+18)/2) )

x-((6*7^(1/2)+18)/2) = 0 // + (6*7^(1/2)+18)/2

x = (6*7^(1/2)+18)/2

x in { (18-6*7^(1/2))/2, (6*7^(1/2)+18)/2 }

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