Math, asked by aninditha0604, 10 months ago

If a+b+c =0 then what is a^2/bc + b^2/ac + c^2/ab



Please answer.. extremely urgent​

Answers

Answered by Cynefin
2

Answer:

Hey mate, Good morning ❤

#Here's ur answer...☆☆☆

Step-by-step explanation:

 \boxed{ \mathfrak{ \pink{ \huge{answer...}}}}

 \bold{firstly \: u \: need \: to \: know \: that... }\\ \bold{ \red{ when  \: \: a + b + c = 0}} \\  \bold{ \red{then \:  \:   =  > {a}^{3}  +  {b}^{3}  +  {c}^{3}  = 3abc \: }}

 \green{ \bold{given \: .... \:  \: to \: find =  >}}  \\  \frac{ {a}^{2} }{bc}  +  \frac{ {b}^{2} }{ac}  +  \frac{ {c}^{2} }{ab}  \\  =  \frac{ {a}^{3} +  {b}^{3}  +  {c}^{3} }{abc}  \\  =  \frac{3abc}{abc} ( \orange{ \: by \: formula}) \\   \red{ \bold{= 3}}

➡️Hope this helps you..

➡️Pls mark as brainliest..

Answered by niyamezrin
3

Answer:

Answer.3

Step-by-step explanation:

a+b+c=0

a+b=-c. …………….(1)

On cubing both sides

a^3+b^3+3a.b(a+b)=-c^3

a^3+b^3+c^3+3a.b(-c)=0

a^3+b^3+c^3=3a.b.c

Divide both side by a.b c

a^2/b.c+b^2/c.a+c^2/a.b=3 ,

Answer.3

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