15th, 16th and 17th on e please...
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Answer of 17:
a^x-1=bc
b^y-1=ca
c^z-1=ac
a^x-1=bc => a^x / a = bc,
=>a^x = abc
b^y-1=ca => b^y / b = ca , =>b^y = abc
c^z-1=ac => c^z / c = ab ,
=>c^z = abc
a = (abc)^1/x
b = (abc)^1/y
c = (abc)^1/z
abc = (abc)^1/x+1/y+1/z
(abc)^1 = (abc)^1/x+1/y+1/z
1/x+1/y+1/z = 1
(xy + yz + zx) / xyz = 1
=> xy + yz + zx = xyz
Hope this helps
a^x-1=bc
b^y-1=ca
c^z-1=ac
a^x-1=bc => a^x / a = bc,
=>a^x = abc
b^y-1=ca => b^y / b = ca , =>b^y = abc
c^z-1=ac => c^z / c = ab ,
=>c^z = abc
a = (abc)^1/x
b = (abc)^1/y
c = (abc)^1/z
abc = (abc)^1/x+1/y+1/z
(abc)^1 = (abc)^1/x+1/y+1/z
1/x+1/y+1/z = 1
(xy + yz + zx) / xyz = 1
=> xy + yz + zx = xyz
Hope this helps
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