6x^8-10x^3/2x

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Solution for 6x^8-10x^3/2x equation: 


x in (-oo:+oo)

6*x^8-(x*((10*x^3)/2)) = 0

6*x^8-5*x^4 = 0

t_1 = x^4

6*t_1^2-5*t_1^1 = 0

6*t_1^2-5*t_1 = 0

DELTA = (-5)^2-(0*4*6)

DELTA = 25

DELTA > 0

t_1 = (25^(1/2)+5)/(2*6) or t_1 = (5-25^(1/2))/(2*6)

t_1 = 5/6 or t_1 = 0

t_1 = 0

x^4+0 = 0

x^4 = 0

1*x^4 = 0 // : 1

x^4 = 0

x = 0

t_1 = 5/6

x^4-5/6 = 0

1*x^4 = 5/6 // : 1

x^4 = 5/6

x^4 = 5/6 // ^ 1/4

abs(x) = (5/6)^(1/4)

x = (5/6)^(1/4) or x = -(5/6)^(1/4)

x in { 0, (5/6)^(1/4), -(5/6)^(1/4) }

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