x^2-49/7x^4=0

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Solution for x^2-49/7x^4=0 equation: 


x in (-oo:+oo)

x^2-((49/7)*x^4) = 0

x^2-7*x^4 = 0

t_1 = x^2

1*t_1^1-7*t_1^2 = 0

t_1-7*t_1^2 = 0

DELTA = 1^2-(-7*0*4)

DELTA = 1

DELTA > 0

t_1 = (1^(1/2)-1)/(-7*2) or t_1 = (-1^(1/2)-1)/(-7*2)

t_1 = 0 or t_1 = 1/7

t_1 = 0

x^2+0 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

t_1 = 1/7

x^2-1/7 = 0

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

x^2 = 1/7

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

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

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

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

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