Question

if a²+b²+2c²-4a+2c-2bc+5=0 then the possible value of a+b-c​

Answer 1

Answer:

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Step-by-step explanation:

a²+b²+2c²-4a +2c -2bc +5=0

(a²-4a+4)+(b²-2bc+c²)+2c²+2c+5-4-c²=0

(a²-4a+4)+(b²-2bc+c²)+(c²+2c+1)=0

(a-2)²+(b-c)²+(c+1)²=0

a-2=0

a= 2

b-c=0

b=c

c+1=0

c=-1

So

a= 2, b= -1 and c= -1

so, a+b-c = 2-1+1= 2

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