5x^3/3-8x+8/3=171

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Solution for 5x^3/3-8x+8/3=171 equation: 


x in (-oo:+oo)

(5*x^3)/3-(8*x)+8/3 = 171 // - 171

(5*x^3)/3-(8*x)+8/3-171 = 0

(5*x^3)/3-8*x+8/3-171 = 0

(5/3)*x^3-8*x-505/3 = 0

(5/3)*x^3-8*x-505/3 = 0 // * 0

{ 1, -1, 5, -5, 101, -101, 505, -505 }

1

x = 1

5*x^3-24*x-505 = -524

1

-1

x = -1

5*x^3-24*x-505 = -486

-1

5

x = 5

5*x^3-24*x-505 = 0

5

x-5

5*x^2+25*x+101

5*x^3-24*x-505

x-5

25*x^2-5*x^3

25*x^2-24*x-505

125*x-25*x^2

101*x-505

505-101*x

0

5*x^2+25*x+101 = 0

DELTA = 25^2-(4*5*101)

DELTA = -1395

DELTA < 0

x in { 5} 

x = 5

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