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if z^2+z+1=0 then find the value of (z+1/z)^2 +(z^2+1/z^2)^2
Z² + z +1 = 0HenceZ is w or w²Let z= w in the question(w + 1/w)² + (w² +1/w²)²= (w +w²)² + (w² + w) ²= (-1)² + (-1)²= 1 +1 = 2
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