(3x^2+17x+7)/(3x+2)

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Solution for (3x^2+17x+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)

(3*x^2+17*x+7)/(3*x+2) = 0

3*x^2+17*x+7 = 0

3*x^2+17*x+7 = 0

DELTA = 17^2-(3*4*7)

DELTA = 205

DELTA > 0

x = (205^(1/2)-17)/(2*3) or x = (-205^(1/2)-17)/(2*3)

x = (205^(1/2)-17)/6 or x = (-(205^(1/2)+17))/6

(x+(205^(1/2)+17)/6)*(x-((205^(1/2)-17)/6)) = 0

((x+(205^(1/2)+17)/6)*(x-((205^(1/2)-17)/6)))/(3*x+2) = 0

( x+(205^(1/2)+17)/6 )

x+(205^(1/2)+17)/6 = 0 // - (205^(1/2)+17)/6

x = -((205^(1/2)+17)/6)

( x-((205^(1/2)-17)/6) )

x-((205^(1/2)-17)/6) = 0 // + (205^(1/2)-17)/6

x = (205^(1/2)-17)/6

x in { -((205^(1/2)+17)/6), (205^(1/2)-17)/6 }

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