8x^2=x^(4/3)

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Solution for 8x^2=x^(4/3) equation: 


x in (-oo:+oo)

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

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

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

x^(4/3)*(8*x^(2/3)-1) = 0

8*x^(2/3) = 1 // : 8

x^(2/3) = 1/8

x^(2/3) = 1/8 // ^ 3

x^2 = 1/512 // ^ 1/2

abs(x) = (1/512)^(1/2)

x = (1/512)^(1/2) or x = -(1/512)^(1/2)

x^(4/3) = 0

1*x^(4/3) = 0 // : 1

x^(4/3) = 0

x = 0

x in { (1/512)^(1/2), -(1/512)^(1/2), 0 }

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