(2x^2-11x+2)/(2x+1)

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Solution for (2x^2-11x+2)/(2x+1) equation:


D( x )

2*x+1 = 0

2*x+1 = 0

2*x+1 = 0

2*x+1 = 0 // - 1

2*x = -1 // : 2

x = -1/2

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

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

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

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

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

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

DELTA = 105

DELTA > 0

x = (105^(1/2)+11)/(2*2) or x = (11-105^(1/2))/(2*2)

x = (105^(1/2)+11)/4 or x = (11-105^(1/2))/4

(x-((11-105^(1/2))/4))*(x-((105^(1/2)+11)/4)) = 0

((x-((11-105^(1/2))/4))*(x-((105^(1/2)+11)/4)))/(2*x+1) = 0

( x-((105^(1/2)+11)/4) )

x-((105^(1/2)+11)/4) = 0 // + (105^(1/2)+11)/4

x = (105^(1/2)+11)/4

( x-((11-105^(1/2))/4) )

x-((11-105^(1/2))/4) = 0 // + (11-105^(1/2))/4

x = (11-105^(1/2))/4

x in { (105^(1/2)+11)/4, (11-105^(1/2))/4 }

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