(4x2+x-11)/(2x+3)

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Solution for (4x2+x-11)/(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)

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

4*x^2+x-11 = 0

4*x^2+x-11 = 0

DELTA = 1^2-(-11*4*4)

DELTA = 177

DELTA > 0

x = (177^(1/2)-1)/(2*4) or x = (-177^(1/2)-1)/(2*4)

x = (177^(1/2)-1)/8 or x = (-(177^(1/2)+1))/8

(x+(177^(1/2)+1)/8)*(x-((177^(1/2)-1)/8)) = 0

((x+(177^(1/2)+1)/8)*(x-((177^(1/2)-1)/8)))/(2*x+3) = 0

( x+(177^(1/2)+1)/8 )

x+(177^(1/2)+1)/8 = 0 // - (177^(1/2)+1)/8

x = -((177^(1/2)+1)/8)

( x-((177^(1/2)-1)/8) )

x-((177^(1/2)-1)/8) = 0 // + (177^(1/2)-1)/8

x = (177^(1/2)-1)/8

x in { -((177^(1/2)+1)/8), (177^(1/2)-1)/8 }

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