24x^4-18x^2+36x/6x

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Solution for 24x^4-18x^2+36x/6x equation:


x in (-oo:+oo)

24*x^4-(18*x^2)+((36*x)/6)*x = 0

24*x^4-18*x^2+((36*x)/6)*x = 0

24*x^4-12*x^2 = 0

t_1 = x^2

24*t_1^2-12*t_1^1 = 0

24*t_1^2-12*t_1 = 0

DELTA = (-12)^2-(0*4*24)

DELTA = 144

DELTA > 0

t_1 = (144^(1/2)+12)/(2*24) or t_1 = (12-144^(1/2))/(2*24)

t_1 = 1/2 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 = 1/2

x^2-1/2 = 0

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

x^2 = 1/2

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

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

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

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

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