(1-8x^2)^(-3/4)

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Solution for (1-8x^2)^(-3/4) equation:


D( x )

1-(8*x^2) = 0

1-(8*x^2) < 0

1-(8*x^2) = 0

1-(8*x^2) = 0

1-8*x^2 = 0

-8*x^2 = -1 // : -8

x^2 = 1/8

x^2 = 1/8 // ^ 1/2

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

x = (1/8)^(1/2) or x = -(1/8)^(1/2)

1-(8*x^2) < 0

1-(8*x^2) < 0

1-8*x^2 < 0

-8*x^2 < -1

-8*x^2 < -1 // * -1

8*x^2 > 1

8*x^2 > 1 // : 8

x^2 > 1/8

x^2 > 1/8 // ^ 1/2

abs(x) > (1/8)^(1/2)

x in (-oo:-(1/8)^(1/2)) U ((1/8)^(1/2):+oo)

x in (-(1/8)^(1/2):(1/8)^(1/2))

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

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

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

x belongs to the empty set

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