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Question

Solve the following quadric equations by factorization method only x2+x+1=0

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Solution

x2+x+1=0Now, completing the squares, we get(x+12)2+34=0(x+12)2(32i)2=0(x+12+32i)(x+1232i)=0(x+12+32i)=0Or (x+1232i)=0x=12+32i,1232i


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