If a²=bc,b² = ca, c²=ab then show that xyz= x+y+z+2
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Step-by-step explanation:
f a b c are all non zero and a+b+c=0 prove that a2/bc+b2/ca+c2/ab=3
a²/bc + b²/ca + c²/ab = 3
Multiplying by abc both sides
=> a³ + b³ + c³ = 3abc
=> (a+ b)³ - 3ab(a+b) + c³ = 3abc
as we know that a + b + c = 0
=> a + b = -c
=> (-c)³ - 3ab(-c) + c³ = 3abc
=> -c³ + 3abc + c³ = 3abc
=> 3abc = 3abc
=> LHS = RHS
QED
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Answer:
do you know telugu
amarnath
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