Grade 88 grade maths
Let a,b,c be distinct non zero real numbers such that:1-a³/a=1-b³/b=1-c³/c.Then value of a³+b³+c³ is?
Let a,b,c be distinct non zero real numbers such that:
1-a³/a=1-b³/b=1-c³/c.Then value of a³+b³+c³ is?
1 Answer
Arun
Dear Divyashu
1 – a^3 = ka
a^3 = 1 + ka
similarily
b^3 = 1 + kb
c^3 = 1 + kc
hence
a^3 + b^3 + c^3 = 3 + k (a + b +c)
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