(5x2-3x-3)(x-1)/x2

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Solution for (5x2-3x-3)(x-1)/x2 equation: 


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in (-oo:0) U (0:+oo)

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

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

5*x^2-3*x-3 = 0

5*x^2-3*x-3 = 0

DELTA = (-3)^2-(-3*4*5)

DELTA = 69

DELTA > 0

x = (69^(1/2)+3)/(2*5) or x = (3-69^(1/2))/(2*5)

x = (69^(1/2)+3)/10 or x = (3-69^(1/2))/10

(x-((3-69^(1/2))/10))*(x-((69^(1/2)+3)/10)) = 0

((x-((3-69^(1/2))/10))*(x-((69^(1/2)+3)/10))*(x-1))/(x^2) = 0

( x-((3-69^(1/2))/10) )

x-((3-69^(1/2))/10) = 0 // + (3-69^(1/2))/10

x = (3-69^(1/2))/10

( x-((69^(1/2)+3)/10) )

x-((69^(1/2)+3)/10) = 0 // + (69^(1/2)+3)/10

x = (69^(1/2)+3)/10

( x-1 )

x-1 = 0 // + 1

x = 1

x in { (3-69^(1/2))/10, (69^(1/2)+3)/10, 1 }

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