6x^4-26x^2-6x/6x

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Solution for 6x^4-26x^2-6x/6x equation: 


x in (-oo:+oo)

6*x^4-(26*x^2)-(((6*x)/6)*x) = 0

6*x^4-26*x^2-x^2 = 0

6*x^4-27*x^2 = 0

t_1 = x^2

6*t_1^2-27*t_1^1 = 0

6*t_1^2-27*t_1 = 0

DELTA = (-27)^2-(0*4*6)

DELTA = 729

DELTA > 0

t_1 = (729^(1/2)+27)/(2*6) or t_1 = (27-729^(1/2))/(2*6)

t_1 = 9/2 or t_1 = 0

t_1 = 0

x^2+0 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

t_1 = 9/2

x^2-9/2 = 0

1*x^2 = 9/2 // : 1

x^2 = 9/2

x^2 = 9/2 // ^ 1/2

abs(x) = (9/2)^(1/2)

x = (9/2)^(1/2) or x = -(9/2)^(1/2)

x in { 0, (9/2)^(1/2), -(9/2)^(1/2) }

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