((x^2)+5x+6)/(2x^2-11x+5)=0

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Solution for ((x^2)+5x+6)/(2x^2-11x+5)=0 equation:


D( x )

2*x^2-(11*x)+5 = 0

2*x^2-(11*x)+5 = 0

2*x^2-(11*x)+5 = 0

2*x^2-11*x+5 = 0

2*x^2-11*x+5 = 0

DELTA = (-11)^2-(2*4*5)

DELTA = 81

DELTA > 0

x = (81^(1/2)+11)/(2*2) or x = (11-81^(1/2))/(2*2)

x = 5 or x = 1/2

x in (-oo:1/2) U (1/2:5) U (5:+oo)

(x^2+5*x+6)/(2*x^2-(11*x)+5) = 0

(x^2+5*x+6)/(2*x^2-11*x+5) = 0

x^2+5*x+6 = 0

x^2+5*x+6 = 0

DELTA = 5^2-(1*4*6)

DELTA = 1

DELTA > 0

x = (1^(1/2)-5)/(1*2) or x = (-1^(1/2)-5)/(1*2)

x = -2 or x = -3

(x+3)*(x+2) = 0

2*x^2-11*x+5 = 0

2*x^2-11*x+5 = 0

DELTA = (-11)^2-(2*4*5)

DELTA = 81

DELTA > 0

x = (81^(1/2)+11)/(2*2) or x = (11-81^(1/2))/(2*2)

x = 5 or x = 1/2

(x-1/2)*(x-5) = 0

((x+3)*(x+2))/((x-1/2)*(x-5)) = 0

( x+2 )

x+2 = 0 // - 2

x = -2

( x+3 )

x+3 = 0 // - 3

x = -3

x in { -2, -3 }

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