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

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Solution for 2/(x-1)-(x+2)/2=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)

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

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

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

4-1*(x+2)*(x-1) = 0

6-x^2-x = 0

6-x^2-x = 0

6-x^2-x = 0

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

DELTA = 25

DELTA > 0

x = (25^(1/2)+1)/(-1*2) or x = (1-25^(1/2))/(-1*2)

x = -3 or x = 2

(x+3)*(x-2) = 0

((x+3)*(x-2))/(2*(x-1)) = 0

((x+3)*(x-2))/(2*(x-1)) = 0 // * 2*(x-1)

(x+3)*(x-2) = 0

( x+3 )

x+3 = 0 // - 3

x = -3

( x-2 )

x-2 = 0 // + 2

x = 2

x in { -3, 2 }

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