Question

if a + b + c is 0 find :
$\frac{ {a}^{2} }{bc} + \frac{ {b}^{2} }{ca} + \frac{ {c}^{2} }{ab}$
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Answer 1

YOUR ANSWER REFERS TO THE GIVEN ATTACHEMENT.

Answer : 3

Answer 2

Solution

$\frac{ {a}^{2} }{bc} + \frac{ {b}^{2} }{ca} + \frac{ {c}^{2} }{ab} \\ \\ = \frac{a {}^{3} + b {}^{3} + c {}^{3} }{abc} \\ = \frac{3abc}{abc} \\ = 3$

[now from the formula...

a³+b³+c³-3abc=(a+b+c)(a²+b²+c²-ab-bc-ca)

as..a+b+c=0..so

a³+b³+c³-abc=0

=>a³+b³+c³=3abc. ]

hope this helps you.........