Let's play with roots

Algebra Level 3

Let α , β , γ \alpha ,\beta ,\gamma and δ \delta be the roots of x 4 + x 2 + 1 = 0 x^4+x^2+1=0 .

Find the equation whose roots are α 2 , β 2 , γ 2 \alpha^2 ,\beta^2 ,\gamma^2 and δ 2 \delta^2 .

( x 2 − x + 1 ) 2 = 0 (x^2-x+1)^2=0 ( x 2 + x + 1 ) 2 = 0 (x^2+x+1)^2=0 x 4 − x 2 + 1 = 0 x^4-x^2+1=0 x 2 + x + 1 = 0 x^2+x+1=0 None of these choices

Sabhrant Sachan by Sabhrant Sachan , 21, India

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