((5x^2-11x-12)/(5x^2-13x-6))*((x^2-5x+4)/(5x^2-x-4))

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Solution for ((5x^2-11x-12)/(5x^2-13x-6))*((x^2-5x+4)/(5x^2-x-4)) equation: 


D( x )

5*x^2-x-4 = 0

5*x^2-(13*x)-6 = 0

5*x^2-x-4 = 0

5*x^2-x-4 = 0

5*x^2-x-4 = 0

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

DELTA = 81

DELTA > 0

x = (81^(1/2)+1)/(2*5) or x = (1-81^(1/2))/(2*5)

x = 1 or x = -4/5

5*x^2-(13*x)-6 = 0

5*x^2-(13*x)-6 = 0

5*x^2-13*x-6 = 0

5*x^2-13*x-6 = 0

DELTA = (-13)^2-(-6*4*5)

DELTA = 289

DELTA > 0

x = (289^(1/2)+13)/(2*5) or x = (13-289^(1/2))/(2*5)

x = 3 or x = -2/5

x in (-oo:-4/5) U (-4/5:-2/5) U (-2/5:1) U (1:3) U (3:+oo)

((5*x^2-(11*x)-12)/(5*x^2-(13*x)-6))*((x^2-(5*x)+4)/(5*x^2-x-4)) = 0

((5*x^2-11*x-12)/(5*x^2-13*x-6))*((x^2-5*x+4)/(5*x^2-x-4)) = 0

((5*x^2-11*x-12)*(x^2-5*x+4))/((5*x^2-13*x-6)*(5*x^2-x-4)) = 0

5*x^2-11*x-12 = 0

5*x^2-11*x-12 = 0

DELTA = (-11)^2-(-12*4*5)

DELTA = 361

DELTA > 0

x = (361^(1/2)+11)/(2*5) or x = (11-361^(1/2))/(2*5)

x = 3 or x = -4/5

(x+4/5)*(x-3) = 0

5*x^2-13*x-6 = 0

5*x^2-13*x-6 = 0

DELTA = (-13)^2-(-6*4*5)

DELTA = 289

DELTA > 0

x = (289^(1/2)+13)/(2*5) or x = (13-289^(1/2))/(2*5)

x = 3 or x = -2/5

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

x^2-5*x+4 = 0

x^2-5*x+4 = 0

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

DELTA = 9

DELTA > 0

x = (9^(1/2)+5)/(1*2) or x = (5-9^(1/2))/(1*2)

x = 4 or x = 1

(x-1)*(x-4) = 0

5*x^2-x-4 = 0

5*x^2-x-4 = 0

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

DELTA = 81

DELTA > 0

x = (81^(1/2)+1)/(2*5) or x = (1-81^(1/2))/(2*5)

x = 1 or x = -4/5

(x+4/5)*(x-1) = 0

((x+4/5)*(x-3)*(x-1)*(x-4))/((x+2/5)*(x-3)*(x+4/5)*(x-1)) = 0

( x+4/5 )

x+4/5 = 0 // - 4/5

x = -4/5

( x-1 )

x-1 = 0 // + 1

x = 1

( x-3 )

x-3 = 0 // + 3

x = 3

( x-4 )

x-4 = 0 // + 4

x = 4

x in { -4/5} 

x in { 1} 

x in { 3} 

x = 4

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