(6X2/3)-(3/14X4/3)

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Solution for (6X2/3)-(3/14X4/3) equation: 


X in (-oo:+oo)

(6*X^2)/3-(((3/14)*X^4)/3) = 0

(-1/14)*X^4+(6*X^2)/3 = 0

2*X^2-1/14*X^4 = 0

t_1 = X^2

2*t_1^1-1/14*t_1^2 = 0

2*t_1-1/14*t_1^2 = 0

DELTA = 2^2-(-1/14*0*4)

DELTA = 4

DELTA > 0

t_1 = (4^(1/2)-2)/(-1/14*2) or t_1 = (-4^(1/2)-2)/(-1/14*2)

t_1 = 0 or t_1 = 28

t_1 = 0

X^2+0 = 0

X^2 = 0

1*X^2 = 0 // : 1

X^2 = 0

X = 0

t_1 = 28

X^2-28 = 0

1*X^2 = 28 // : 1

X^2 = 28

X^2 = 28 // ^ 1/2

abs(X) = 2*7^(1/2)

X = 2*7^(1/2) or X = -(2*7^(1/2))

X in { 0, 2*7^(1/2), -(2*7^(1/2)) }

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