(x+2/x+9)/(x^2+4x+4)(9x)/(x^2+11x+18)

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Solution for (x+2/x+9)/(x^2+4x+4)(9x)/(x^2+11x+18) equation:


D( x )

x^2+11*x+18 = 0

x^2+4*x+4 = 0

x = 0

x^2+11*x+18 = 0

x^2+11*x+18 = 0

x^2+11*x+18 = 0

DELTA = 11^2-(1*4*18)

DELTA = 49

DELTA > 0

x = (49^(1/2)-11)/(1*2) or x = (-49^(1/2)-11)/(1*2)

x = -2 or x = -9

x^2+4*x+4 = 0

x^2+4*x+4 = 0

x^2+4*x+4 = 0

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

DELTA = 0

x = -4/(1*2)

x = -2 or x = -2

x = 0

x = 0

x in (-oo:-9) U (-9:-2) U (-2:0) U (0:+oo)

(9*x*((x+2/x+9)/(x^2+4*x+4)))/(x^2+11*x+18) = 0

(9*x*(x+2*x^-1+9))/((x^2+4*x+4)*(x^2+11*x+18)) = 0

x+2*x^-1+9 = 0

1*x^1+2*x^-1+9*x^0 = 0

(1*x^2+9*x^1+2*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2+9*x^1+2*x^0) = 0

x^1

x^2+9*x+2 = 0

x^2+9*x+2 = 0

DELTA = 9^2-(1*2*4)

DELTA = 73

DELTA > 0

x = (73^(1/2)-9)/(1*2) or x = (-73^(1/2)-9)/(1*2)

x = (73^(1/2)-9)/2 or x = (-(73^(1/2)+9))/2

x in { (-(73^(1/2)+9))/2, (73^(1/2)-9)/2}

(x+(73^(1/2)+9)/2)*(x-((73^(1/2)-9)/2)) = 0

x^2+4*x+4 = 0

x^2+4*x+4 = 0

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

DELTA = 0

x = -4/(1*2)

x = -2 or x = -2

(x+2)^2 = 0

x^2+11*x+18 = 0

x^2+11*x+18 = 0

DELTA = 11^2-(1*4*18)

DELTA = 49

DELTA > 0

x = (49^(1/2)-11)/(1*2) or x = (-49^(1/2)-11)/(1*2)

x = -2 or x = -9

(x+9)*(x+2) = 0

(9*x*(x+(73^(1/2)+9)/2)*(x-((73^(1/2)-9)/2)))/((x+2)^3*(x+9)) = 0

( 9*x )

9*x = 0 // : 9

x = 0

( x+(73^(1/2)+9)/2 )

x+(73^(1/2)+9)/2 = 0 // - (73^(1/2)+9)/2

x = -((73^(1/2)+9)/2)

( x-((73^(1/2)-9)/2) )

x-((73^(1/2)-9)/2) = 0 // + (73^(1/2)-9)/2

x = (73^(1/2)-9)/2

x in { 0}

x in { -((73^(1/2)+9)/2), (73^(1/2)-9)/2 }

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