(4x^2-3x-11)/(2x-1)

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Solution for (4x^2-3x-11)/(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)

(4*x^2-(3*x)-11)/(2*x-1) = 0

(4*x^2-3*x-11)/(2*x-1) = 0

4*x^2-3*x-11 = 0

4*x^2-3*x-11 = 0

DELTA = (-3)^2-(-11*4*4)

DELTA = 185

DELTA > 0

x = (185^(1/2)+3)/(2*4) or x = (3-185^(1/2))/(2*4)

x = (185^(1/2)+3)/8 or x = (3-185^(1/2))/8

(x-((3-185^(1/2))/8))*(x-((185^(1/2)+3)/8)) = 0

((x-((3-185^(1/2))/8))*(x-((185^(1/2)+3)/8)))/(2*x-1) = 0

( x-((185^(1/2)+3)/8) )

x-((185^(1/2)+3)/8) = 0 // + (185^(1/2)+3)/8

x = (185^(1/2)+3)/8

( x-((3-185^(1/2))/8) )

x-((3-185^(1/2))/8) = 0 // + (3-185^(1/2))/8

x = (3-185^(1/2))/8

x in { (185^(1/2)+3)/8, (3-185^(1/2))/8 }

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