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

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


D( x )

2*x+3 = 0

2*x+3 = 0

2*x+3 = 0

2*x+3 = 0 // - 3

2*x = -3 // : 2

x = -3/2

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

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

(2*x^2-11*x+5)/(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 = (11-81^(1/2))/(2*2)

x = 5 or x = 1/2

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

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

( x-1/2 )

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

x = 1/2

( x-5 )

x-5 = 0 // + 5

x = 5

x in { 1/2, 5 }

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