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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?

Grade:8

1 Answers

Arun
25763 Points
2 years ago
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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