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(a)2 +( b)2+(c)2_ab_2bc_2ca=0, prove. That a=b=2c

Answer»

ong>Answer:

hope it helps

Step-by-step explanation:

a²+b²+4c²-ab-2bc-2ca=0

Multiply both SIDES by 2

2(a²+b²+4c²-ab-2bc-2ca)=2(0)

2a²+2b²+8c²-2ab-4bc-4ca=0

(a²-2ab+b²)+(b²-4bc+4c²)+(4c²-4ca+a²)=0

(a-b)²+(b-2c)²+(2c-a)²=0

a-b=0 ; b-2c=0 ; 2c-a=0

a=b ; b=2c ; 2c=a

a=b=2c

hence proved



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