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(ab)^1/2 = {(a)^p+1 + (b)^p+1 / a^p + b^p}
=(a^p + b^p)(a^1/2 Ă— b^1/2) = a^p+1 + b^p+1
=(a^p+1/2)b^1/2 + (b^p+1/2)a^1/2 = a^p+1 + b^p+1
={(a^p+1/2)b^1/2 - b^p+1} + {(b^p+1/2)a^1/2 - a^p+1} = 0
=b^1/2 (a^p+1/2 - b^p+1/2) -a^1/2 (a^p+1/2 -b^p+1/2) = 0
=(a^p+1/2 - b^p+1/2)(b^1/2 -a^1/2) =0
a^p+1/2 - b^p+1/2 =0
p + 1/2 =0
p = -1/2
=(a^p + b^p)(a^1/2 Ă— b^1/2) = a^p+1 + b^p+1
=(a^p+1/2)b^1/2 + (b^p+1/2)a^1/2 = a^p+1 + b^p+1
={(a^p+1/2)b^1/2 - b^p+1} + {(b^p+1/2)a^1/2 - a^p+1} = 0
=b^1/2 (a^p+1/2 - b^p+1/2) -a^1/2 (a^p+1/2 -b^p+1/2) = 0
=(a^p+1/2 - b^p+1/2)(b^1/2 -a^1/2) =0
a^p+1/2 - b^p+1/2 =0
p + 1/2 =0
p = -1/2
prince598:
p= -1/2 by mistake minus sign forget
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