x^4-63/4x^2-4=0

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Solution for x^4-63/4x^2-4=0 equation: 


x in (-oo:+oo)

x^4-((63/4)*x^2)-4 = 0

x^4+(-63/4)*x^2-4 = 0

x^4-63/4*x^2-4 = 0

t_1 = x^2

1*t_1^2-63/4*t_1^1-4 = 0

t_1^2-63/4*t_1-4 = 0

DELTA = (-63/4)^2-(-4*1*4)

DELTA = 4225/16

DELTA > 0

t_1 = ((4225/16)^(1/2)+63/4)/(1*2) or t_1 = (63/4-(4225/16)^(1/2))/(1*2)

t_1 = 16 or t_1 = -1/4

t_1 = -1/4

x^2+1/4 = 0

1*x^2 = -1/4 // : 1

x^2 = -1/4

t_1 = 16

x^2-16 = 0

1*x^2 = 16 // : 1

x^2 = 16

x^2 = 16 // ^ 1/2

abs(x) = 4

x = 4 or x = -4

x in { 4, -4 }

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