x-(10/(x-1))=0

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Solution for x-(10/(x-1))=0 equation: 


D( x )

x-1 = 0

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

x in (-oo:1) U (1:+oo)

x-(10/(x-1)) = 0

x-10*(x-1)^-1 = 0

x-10/(x-1) = 0

(x*(x-1))/(x-1)-10/(x-1) = 0

x*(x-1)-10 = 0

x^2-x-10 = 0

x^2-x-10 = 0

x^2-x-10 = 0

DELTA = (-1)^2-(-10*1*4)

DELTA = 41

DELTA > 0

x = (41^(1/2)+1)/(1*2) or x = (1-41^(1/2))/(1*2)

x = (41^(1/2)+1)/2 or x = (1-41^(1/2))/2

(x-((1-41^(1/2))/2))*(x-((41^(1/2)+1)/2)) = 0

((x-((1-41^(1/2))/2))*(x-((41^(1/2)+1)/2)))/(x-1) = 0

((x-((1-41^(1/2))/2))*(x-((41^(1/2)+1)/2)))/(x-1) = 0 // * x-1

(x-((1-41^(1/2))/2))*(x-((41^(1/2)+1)/2)) = 0

( x-((1-41^(1/2))/2) )

x-((1-41^(1/2))/2) = 0 // + (1-41^(1/2))/2

x = (1-41^(1/2))/2

( x-((41^(1/2)+1)/2) )

x-((41^(1/2)+1)/2) = 0 // + (41^(1/2)+1)/2

x = (41^(1/2)+1)/2

x in { (1-41^(1/2))/2, (41^(1/2)+1)/2 }

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