(11/(x+8))-4=(-6)/(x-1)

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Solution for (11/(x+8))-4=(-6)/(x-1) equation:


D( x )

x-1 = 0

x+8 = 0

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

x+8 = 0

x+8 = 0

x+8 = 0 // - 8

x = -8

x in (-oo:-8) U (-8:1) U (1:+oo)

11/(x+8)-4 = -6/(x-1) // + -6/(x-1)

11/(x+8)-(-6/(x-1))-4 = 0

11/(x+8)+6*(x-1)^-1-4 = 0

11/(x+8)+6/(x-1)-4 = 0

(11*(x-1))/((x+8)*(x-1))+(6*(x+8))/((x+8)*(x-1))+(-4*(x+8)*(x-1))/((x+8)*(x-1)) = 0

11*(x-1)+6*(x+8)-4*(x+8)*(x-1) = 0

17*x-4*x^2-28*x+32+37 = 0

69-4*x^2-11*x = 0

69-4*x^2-11*x = 0

69-4*x^2-11*x = 0

DELTA = (-11)^2-(-4*4*69)

DELTA = 1225

DELTA > 0

x = (1225^(1/2)+11)/(-4*2) or x = (11-1225^(1/2))/(-4*2)

x = -23/4 or x = 3

(x+23/4)*(x-3) = 0

((x+23/4)*(x-3))/((x+8)*(x-1)) = 0

((x+23/4)*(x-3))/((x+8)*(x-1)) = 0 // * (x+8)*(x-1)

(x+23/4)*(x-3) = 0

( x+23/4 )

x+23/4 = 0 // - 23/4

x = -23/4

( x-3 )

x-3 = 0 // + 3

x = 3

x in { -23/4, 3 }

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