8/2x4=24/3x2

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Solution for 8/2x4=24/3x2 equation:


x in (-oo:+oo)

(8/2)*x^4 = (24/3)*x^2 // - (24/3)*x^2

(8/2)*x^4-((24/3)*x^2) = 0

(8/2)*x^4-8*x^2 = 0

4*x^4-8*x^2 = 0

t_1 = x^2

4*t_1^2-8*t_1^1 = 0

4*t_1^2-8*t_1 = 0

DELTA = (-8)^2-(0*4*4)

DELTA = 64

DELTA > 0

t_1 = (64^(1/2)+8)/(2*4) or t_1 = (8-64^(1/2))/(2*4)

t_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 = 2

x^2-2 = 0

1*x^2 = 2 // : 1

x^2 = 2

x^2 = 2 // ^ 1/2

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

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

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

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