2/x+2/(x-1)=0.9

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Solution for 2/x+2/(x-1)=0.9 equation:


D( x )

x = 0

x-1 = 0

x = 0

x = 0

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

x in (-oo:0) U (0:1) U (1:+oo)

2/(x-1)+2/x = 0.9 // - 0.9

2/(x-1)+2/x-0.9 = 0

(2*x)/(x*(x-1))+(2*(x-1))/(x*(x-1))+(-0.9*x*(x-1))/(x*(x-1)) = 0

2*(x-1)-0.9*x*(x-1)+2*x = 0

4*x-0.9*x^2+0.9*x-2 = 0

4.9*x-0.9*x^2-2 = 0

4.9*x-0.9*x^2-2 = 0

4.9*x-0.9*x^2-2 = 0

DELTA = 4.9^2-(-2*(-0.9)*4)

DELTA = 4.9^2-7.2

DELTA = 16.81

DELTA > 0

x = ((4.9^2-7.2)^(1/2)-4.9)/(-0.9*2) or x = (-(4.9^2-7.2)^(1/2)-4.9)/(-0.9*2)

x = -0.55555556*((4.9^2-7.2)^(1/2)-4.9) or x = 0.55555556*((4.9^2-7.2)^(1/2)+4.9)

(x+0.55555556*((4.9^2-7.2)^(1/2)-4.9))*(x-0.55555556*((4.9^2-7.2)^(1/2)+4.9)) = 0

((x+0.55555556*((4.9^2-7.2)^(1/2)-4.9))*(x-0.55555556*((4.9^2-7.2)^(1/2)+4.9)))/(x*(x-1)) = 0

((x+0.55555556*((4.9^2-7.2)^(1/2)-4.9))*(x-0.55555556*((4.9^2-7.2)^(1/2)+4.9)))/(x*(x-1)) = 0 // * x*(x-1)

(x+0.55555556*((4.9^2-7.2)^(1/2)-4.9))*(x-0.55555556*((4.9^2-7.2)^(1/2)+4.9)) = 0

( x+0.55555556*((4.9^2-7.2)^(1/2)-4.9) )

x+0.55555556*((4.9^2-7.2)^(1/2)-4.9) = 0 // - 0.55555556*((4.9^2-7.2)^(1/2)-4.9)

x = -(0.55555556*((4.9^2-7.2)^(1/2)-4.9))

x = -0.55555556*((4.9^2-7.2)^(1/2)-4.9)

( x-0.55555556*((4.9^2-7.2)^(1/2)+4.9) )

x-0.55555556*((4.9^2-7.2)^(1/2)+4.9) = 0 // + -0.55555556*((4.9^2-7.2)^(1/2)+4.9)

x = -(-0.55555556*((4.9^2-7.2)^(1/2)+4.9))

x = 0.55555556*((4.9^2-7.2)^(1/2)+4.9)

x in { -0.55555556*((4.9^2-7.2)^(1/2)-4.9), 0.55555556*((4.9^2-7.2)^(1/2)+4.9) }

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