(10x^2-11x-5)/(2x-3)

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Solution for (10x^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)

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

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

10*x^2-11*x-5 = 0

10*x^2-11*x-5 = 0

DELTA = (-11)^2-(-5*4*10)

DELTA = 321

DELTA > 0

x = (321^(1/2)+11)/(2*10) or x = (11-321^(1/2))/(2*10)

x = (321^(1/2)+11)/20 or x = (11-321^(1/2))/20

(x-((11-321^(1/2))/20))*(x-((321^(1/2)+11)/20)) = 0

((x-((11-321^(1/2))/20))*(x-((321^(1/2)+11)/20)))/(2*x-3) = 0

( x-((11-321^(1/2))/20) )

x-((11-321^(1/2))/20) = 0 // + (11-321^(1/2))/20

x = (11-321^(1/2))/20

( x-((321^(1/2)+11)/20) )

x-((321^(1/2)+11)/20) = 0 // + (321^(1/2)+11)/20

x = (321^(1/2)+11)/20

x in { (11-321^(1/2))/20, (321^(1/2)+11)/20 }

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