Question

Cho a² + b² + c² + 3 = 2(a+b+c). CMR a=b=c=1

Ai giải hộ mih vs

Mih đang cần gấp

Answer 1

\(a^2+b^2+c^2+3=2\left(a+b+c\right)\)

\(\Leftrightarrow a^2-2a+1+b^2-2b+1+c^2-2c+1=0\)

\(\Leftrightarrow\left(a-1\right)^2+\left(b-1\right)^2+\left(c-1\right)^2=0\Rightarrowđcpm\)

Answer 2

a²+b²+c²+3=2(a+b+c) 

=>a²-2a+1+b²-2b+1+c²-2c+1=1

=>(a-1) ² +(b-1) ² +(c-1) ²=1

=>a=b=c=1 dpcm