(2x^2-5x-3)/(2x^2+11x+5)

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Solution for (2x^2-5x-3)/(2x^2+11x+5) 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

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

DELTA = 81

DELTA > 0

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

x = -1/2 or x = -5

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

(2*x^2-(5*x)-3)/(2*x^2+11*x+5) = 0

(2*x^2-5*x-3)/(2*x^2+11*x+5) = 0

2*x^2-5*x-3 = 0

2*x^2-5*x-3 = 0

DELTA = (-5)^2-(-3*2*4)

DELTA = 49

DELTA > 0

x = (49^(1/2)+5)/(2*2) or x = (5-49^(1/2))/(2*2)

x = 3 or x = -1/2

(x+1/2)*(x-3) = 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 = (-81^(1/2)-11)/(2*2)

x = -1/2 or x = -5

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

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

( x+1/2 )

x+1/2 = 0 // - 1/2

x = -1/2

( x-3 )

x-3 = 0 // + 3

x = 3

x in { -1/2} 

x = 3

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