(x+5)/(x^2+4x-12)+(5x-4)/(x^2+2x-8)

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Solution for (x+5)/(x^2+4x-12)+(5x-4)/(x^2+2x-8) equation: 


D( x )

x^2+4*x-12 = 0

x^2+2*x-8 = 0

x^2+4*x-12 = 0

x^2+4*x-12 = 0

x^2+4*x-12 = 0

DELTA = 4^2-(-12*1*4)

DELTA = 64

DELTA > 0

x = (64^(1/2)-4)/(1*2) or x = (-64^(1/2)-4)/(1*2)

x = 2 or x = -6

x^2+2*x-8 = 0

x^2+2*x-8 = 0

x^2+2*x-8 = 0

DELTA = 2^2-(-8*1*4)

DELTA = 36

DELTA > 0

x = (36^(1/2)-2)/(1*2) or x = (-36^(1/2)-2)/(1*2)

x = 2 or x = -4

x in (-oo:-6) U (-6:-4) U (-4:2) U (2:+oo)

(x+5)/(x^2+4*x-12)+(5*x-4)/(x^2+2*x-8) = 0

x^2+4*x-12 = 0

x^2+4*x-12 = 0

x^2+4*x-12 = 0

DELTA = 4^2-(-12*1*4)

DELTA = 64

DELTA > 0

x = (64^(1/2)-4)/(1*2) or x = (-64^(1/2)-4)/(1*2)

x = 2 or x = -6

(x+6)*(x-2) = 0

x^2+2*x-8 = 0

x^2+2*x-8 = 0

x^2+2*x-8 = 0

DELTA = 2^2-(-8*1*4)

DELTA = 36

DELTA > 0

x = (36^(1/2)-2)/(1*2) or x = (-36^(1/2)-2)/(1*2)

x = 2 or x = -4

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

(x+5)/((x+6)*(x-2))+(5*x-4)/((x+4)*(x-2)) = 0

((x+5)*(x+4))/((x+6)*(x-2)*(x+4))+((5*x-4)*(x+6))/((x+6)*(x-2)*(x+4)) = 0

(x+5)*(x+4)+(5*x-4)*(x+6) = 0

6*x^2+35*x-4 = 0

6*x^2+35*x-4 = 0

6*x^2+35*x-4 = 0

DELTA = 35^2-(-4*4*6)

DELTA = 1321

DELTA > 0

x = (1321^(1/2)-35)/(2*6) or x = (-1321^(1/2)-35)/(2*6)

x = (1321^(1/2)-35)/12 or x = (-(1321^(1/2)+35))/12

(x+(1321^(1/2)+35)/12)*(x-((1321^(1/2)-35)/12)) = 0

((x+(1321^(1/2)+35)/12)*(x-((1321^(1/2)-35)/12)))/((x+6)*(x-2)*(x+4)) = 0

((x+(1321^(1/2)+35)/12)*(x-((1321^(1/2)-35)/12)))/((x+6)*(x-2)*(x+4)) = 0 // * (x+6)*(x-2)*(x+4)

(x+(1321^(1/2)+35)/12)*(x-((1321^(1/2)-35)/12)) = 0

( x+(1321^(1/2)+35)/12 )

x+(1321^(1/2)+35)/12 = 0 // - (1321^(1/2)+35)/12

x = -((1321^(1/2)+35)/12)

( x-((1321^(1/2)-35)/12) )

x-((1321^(1/2)-35)/12) = 0 // + (1321^(1/2)-35)/12

x = (1321^(1/2)-35)/12

x in { -((1321^(1/2)+35)/12), (1321^(1/2)-35)/12 }

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