(2x^2-x-17)/(2x+3)

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Solution for (2x^2-x-17)/(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-x-17)/(2*x+3) = 0

2*x^2-x-17 = 0

2*x^2-x-17 = 0

DELTA = (-1)^2-(-17*2*4)

DELTA = 137

DELTA > 0

x = (137^(1/2)+1)/(2*2) or x = (1-137^(1/2))/(2*2)

x = (137^(1/2)+1)/4 or x = (1-137^(1/2))/4

(x-((1-137^(1/2))/4))*(x-((137^(1/2)+1)/4)) = 0

((x-((1-137^(1/2))/4))*(x-((137^(1/2)+1)/4)))/(2*x+3) = 0

( x-((1-137^(1/2))/4) )

x-((1-137^(1/2))/4) = 0 // + (1-137^(1/2))/4

x = (1-137^(1/2))/4

( x-((137^(1/2)+1)/4) )

x-((137^(1/2)+1)/4) = 0 // + (137^(1/2)+1)/4

x = (137^(1/2)+1)/4

x in { (1-137^(1/2))/4, (137^(1/2)+1)/4 }

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