9x^4-4x^2-9/4x^4

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Solution for 9x^4-4x^2-9/4x^4 equation: 


x in (-oo:+oo)

9*x^4-((9/4)*x^4)-(4*x^2) = 0

9*x^4+(-9/4)*x^4-4*x^2 = 0

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

t_1 = x^2

27/4*t_1^2-4*t_1^1 = 0

27/4*t_1^2-4*t_1 = 0

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

DELTA = 16

DELTA > 0

t_1 = (16^(1/2)+4)/(2*27/4) or t_1 = (4-16^(1/2))/(2*27/4)

t_1 = 16/27 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 = 16/27

x^2-16/27 = 0

1*x^2 = 16/27 // : 1

x^2 = 16/27

x^2 = 16/27 // ^ 1/2

abs(x) = (16/27)^(1/2)

x = (16/27)^(1/2) or x = -(16/27)^(1/2)

x in { 0, (16/27)^(1/2), -(16/27)^(1/2) }

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