10/(x-1)^2-4/(x-1)-1=0

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Solution for 10/(x-1)^2-4/(x-1)-1=0 equation:


D( x )

(x-1)^2 = 0

x-1 = 0

(x-1)^2 = 0

(x-1)^2 = 0

x-1 = 0 // + 1

x = 1

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

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

10/((x-1)^2)-(4/(x-1))-1 = 0

10/((x-1)^2)-4*(x-1)^-1-1 = 0

10/((x-1)^2)-4/(x-1)-1 = 0

10/((x-1)^2)+(-4*(x-1))/((x-1)^2)+(-1*(x-1)^2)/((x-1)^2) = 0

10-4*(x-1)-1*(x-1)^2 = 0

2*x-x^2-4*x-1+14 = 0

13-x^2-2*x = 0

13-x^2-2*x = 0

13-x^2-2*x = 0

DELTA = (-2)^2-(-1*4*13)

DELTA = 56

DELTA > 0

x = (56^(1/2)+2)/(-1*2) or x = (2-56^(1/2))/(-1*2)

x = (2*14^(1/2)+2)/(-2) or x = (2-2*14^(1/2))/(-2)

(x-((2*14^(1/2)+2)/(-2)))*(x-((2-2*14^(1/2))/(-2))) = 0

((x-((2*14^(1/2)+2)/(-2)))*(x-((2-2*14^(1/2))/(-2))))/((x-1)^2) = 0

((x-((2*14^(1/2)+2)/(-2)))*(x-((2-2*14^(1/2))/(-2))))/((x-1)^2) = 0 // * (x-1)^2

(x-((2*14^(1/2)+2)/(-2)))*(x-((2-2*14^(1/2))/(-2))) = 0

( x-((2*14^(1/2)+2)/(-2)) )

x-((2*14^(1/2)+2)/(-2)) = 0 // + (2*14^(1/2)+2)/(-2)

x = (2*14^(1/2)+2)/(-2)

( x-((2-2*14^(1/2))/(-2)) )

x-((2-2*14^(1/2))/(-2)) = 0 // + (2-2*14^(1/2))/(-2)

x = (2-2*14^(1/2))/(-2)

x in { (2*14^(1/2)+2)/(-2), (2-2*14^(1/2))/(-2) }

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