p^3/4(p^1/4-2p^9/4)

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Solution for p^3/4(p^1/4-2p^9/4) equation:


p in (-oo:+oo)

((p^3)/4)*((p^1)/4-((2*p^9)/4)) = 0

((p^3)/4)*((-1/2)*p^9+p/4) = 0

1/4*p^3*(1/4*p-1/2*p^9) = 0

1/4*p-1/2*p^9 = 0

1/2*p*(1/2-p^8) = 0

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

p^8 = 1/2

p^8 = 1/2 // ^ 1/8

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

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

1/2*p*(p-(1/2)^(1/8))*(p+(1/2)^(1/8)) = 0

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

( 1/2*p )

1/2*p = 0 // : 1/2

p = 0

( 1/4*p^3 )

1/4*p^3 = 0 // : 1/4

p^3 = 0

p = 0

( p+(1/2)^(1/8) )

p+(1/2)^(1/8) = 0 // - (1/2)^(1/8)

p = -(1/2)^(1/8)

( p-(1/2)^(1/8) )

p-(1/2)^(1/8) = 0 // + (1/2)^(1/8)

p = (1/2)^(1/8)

p in { 0, 0, -(1/2)^(1/8), (1/2)^(1/8) }

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