(15x^2-4x-7)/(3x-2)

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Solution for (15x^2-4x-7)/(3x-2) equation:


D( x )

3*x-2 = 0

3*x-2 = 0

3*x-2 = 0

3*x-2 = 0 // + 2

3*x = 2 // : 3

x = 2/3

x in (-oo:2/3) U (2/3:+oo)

(15*x^2-(4*x)-7)/(3*x-2) = 0

(15*x^2-4*x-7)/(3*x-2) = 0

15*x^2-4*x-7 = 0

15*x^2-4*x-7 = 0

DELTA = (-4)^2-(-7*4*15)

DELTA = 436

DELTA > 0

x = (436^(1/2)+4)/(2*15) or x = (4-436^(1/2))/(2*15)

x = (2*109^(1/2)+4)/30 or x = (4-2*109^(1/2))/30

(x-((4-2*109^(1/2))/30))*(x-((2*109^(1/2)+4)/30)) = 0

((x-((4-2*109^(1/2))/30))*(x-((2*109^(1/2)+4)/30)))/(3*x-2) = 0

( x-((2*109^(1/2)+4)/30) )

x-((2*109^(1/2)+4)/30) = 0 // + (2*109^(1/2)+4)/30

x = (2*109^(1/2)+4)/30

( x-((4-2*109^(1/2))/30) )

x-((4-2*109^(1/2))/30) = 0 // + (4-2*109^(1/2))/30

x = (4-2*109^(1/2))/30

x in { (2*109^(1/2)+4)/30, (4-2*109^(1/2))/30 }

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