(x^2+2x+1)/(x^2+2x+2)+(x^2+2x+2)/(x^2+2x+3)=7/6

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Solution for (x^2+2x+1)/(x^2+2x+2)+(x^2+2x+2)/(x^2+2x+3)=7/6 equation: 


D( x )

x^2+2*x+3 = 0

x^2+2*x+2 = 0

x^2+2*x+3 = 0

x^2+2*x+3 = 0

x^2+2*x+3 = 0

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

DELTA = -8

DELTA < 0

x^2+2*x+2 = 0

x^2+2*x+2 = 0

x^2+2*x+2 = 0

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

DELTA = -4

DELTA < 0

x in (-oo:+oo)

(x^2+2*x+1)/(x^2+2*x+2)+(x^2+2*x+2)/(x^2+2*x+3) = 7/6 // - 7/6

(x^2+2*x+1)/(x^2+2*x+2)+(x^2+2*x+2)/(x^2+2*x+3)-(7/6) = 0

(x^2+2*x+1)/(x^2+2*x+2)+(x^2+2*x+2)/(x^2+2*x+3)-7/6 = 0

x^2+2*x+2 = 0

x^2+2*x+2 = 0

x^2+2*x+2 = 0

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

DELTA = -4

DELTA < 0

1 = 0

x^2+2*x+3 = 0

x^2+2*x+3 = 0

x^2+2*x+3 = 0

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

DELTA = -8

DELTA < 0

1 = 0

x^2+x^2+2*x+2*x-7/6+1+2 = 0

(6*(x^2+2*x+1))/6+(6*(x^2+2*x+2))/6-7/6 = 0

6*(x^2+2*x+1)+6*(x^2+2*x+2)-7 = 0

12*x^2+24*x-7+18 = 0

12*x^2+24*x+11 = 0

12*x^2+24*x+11 = 0

12*x^2+24*x+11 = 0

DELTA = 24^2-(4*11*12)

DELTA = 48

DELTA > 0

x = (48^(1/2)-24)/(2*12) or x = (-48^(1/2)-24)/(2*12)

x = (4*3^(1/2)-24)/24 or x = (-4*3^(1/2)-24)/24

(x-((-4*3^(1/2)-24)/24))*(x-((4*3^(1/2)-24)/24)) = 0

((x-((-4*3^(1/2)-24)/24))*(x-((4*3^(1/2)-24)/24)))/6 = 0

((x-((-4*3^(1/2)-24)/24))*(x-((4*3^(1/2)-24)/24)))/6 = 0 // * 6

(x-((-4*3^(1/2)-24)/24))*(x-((4*3^(1/2)-24)/24)) = 0

( x-((-4*3^(1/2)-24)/24) )

x-((-4*3^(1/2)-24)/24) = 0 // + (-4*3^(1/2)-24)/24

x = (-4*3^(1/2)-24)/24

( x-((4*3^(1/2)-24)/24) )

x-((4*3^(1/2)-24)/24) = 0 // + (4*3^(1/2)-24)/24

x = (4*3^(1/2)-24)/24

x in { (-4*3^(1/2)-24)/24, (4*3^(1/2)-24)/24 }

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