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

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


x in (-oo:+oo)

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

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

36*x^4-14*x^2 = 0

t_1 = x^2

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

36*t_1^2-14*t_1 = 0

DELTA = (-14)^2-(0*4*36)

DELTA = 196

DELTA > 0

t_1 = (196^(1/2)+14)/(2*36) or t_1 = (14-196^(1/2))/(2*36)

t_1 = 7/18 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 = 7/18

x^2-7/18 = 0

1*x^2 = 7/18 // : 1

x^2 = 7/18

x^2 = 7/18 // ^ 1/2

abs(x) = (7/18)^(1/2)

x = (7/18)^(1/2) or x = -(7/18)^(1/2)

x in { 0, (7/18)^(1/2), -(7/18)^(1/2) }

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