(4x^6/9)-(5x^3/18)

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Solution for (4x^6/9)-(5x^3/18) equation:


x in (-oo:+oo)

(4*x^6)/9-((5*x^3)/18) = 0

(4*x^6)/9+(-5/18)*x^3 = 0

4/9*x^6-5/18*x^3 = 0

t_1 = x^3

4/9*t_1^2-5/18*t_1^1 = 0

4/9*t_1^2-5/18*t_1 = 0

DELTA = (-5/18)^2-(0*4/9*4)

DELTA = 25/324

DELTA > 0

t_1 = ((25/324)^(1/2)+5/18)/(4/9*2) or t_1 = (5/18-(25/324)^(1/2))/(4/9*2)

t_1 = 5/8 or t_1 = 0

t_1 = 0

x^3+0 = 0

x^3 = 0

1*x^3 = 0 // : 1

x^3 = 0

x = 0

t_1 = 5/8

x^3-5/8 = 0

1*x^3 = 5/8 // : 1

x^3 = 5/8

x^3 = 5/8 // ^ 1/3

x = (5/8)^(1/3)

x in { 0, (5/8)^(1/3) }

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