2-x=-(30/(x-1))

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Solution for 2-x=-(30/(x-1)) 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 = -(30/(x-1)) // + 30/(x-1)

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

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

2*(x-1)-x*(x-1)+30 = 0

x-x^2+2*x-2+30 = 0

3*x-x^2+28 = 0

3*x-x^2+28 = 0

3*x-x^2+28 = 0

DELTA = 3^2-(-1*4*28)

DELTA = 121

DELTA > 0

x = (121^(1/2)-3)/(-1*2) or x = (-121^(1/2)-3)/(-1*2)

x = -4 or x = 7

(x+4)*(x-7) = 0

((x+4)*(x-7))/(x-1) = 0

((x+4)*(x-7))/(x-1) = 0 // * x-1

(x+4)*(x-7) = 0

( x+4 )

x+4 = 0 // - 4

x = -4

( x-7 )

x-7 = 0 // + 7

x = 7

x in { -4, 7 }

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