(6x^2-x-13)/(3x-5)

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Solution for (6x^2-x-13)/(3x-5) equation:


D( x )

3*x-5 = 0

3*x-5 = 0

3*x-5 = 0

3*x-5 = 0 // + 5

3*x = 5 // : 3

x = 5/3

x in (-oo:5/3) U (5/3:+oo)

(6*x^2-x-13)/(3*x-5) = 0

6*x^2-x-13 = 0

6*x^2-x-13 = 0

DELTA = (-1)^2-(-13*4*6)

DELTA = 313

DELTA > 0

x = (313^(1/2)+1)/(2*6) or x = (1-313^(1/2))/(2*6)

x = (313^(1/2)+1)/12 or x = (1-313^(1/2))/12

(x-((1-313^(1/2))/12))*(x-((313^(1/2)+1)/12)) = 0

((x-((1-313^(1/2))/12))*(x-((313^(1/2)+1)/12)))/(3*x-5) = 0

( x-((1-313^(1/2))/12) )

x-((1-313^(1/2))/12) = 0 // + (1-313^(1/2))/12

x = (1-313^(1/2))/12

( x-((313^(1/2)+1)/12) )

x-((313^(1/2)+1)/12) = 0 // + (313^(1/2)+1)/12

x = (313^(1/2)+1)/12

x in { (1-313^(1/2))/12, (313^(1/2)+1)/12 }

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