equ4 y=x^4-10x^2+9==0; (* biquadratiche *) Solve[y,x] {{x -> 3}, {x -> -3}, {x -> 1}, {x -> -1}} ;[o] {{x -> 3}, {x -> -3}, {x -> 1}, {x -> -1}} y=x^4-3x^2-4==0; Solve[y,x] {{x -> I}, {x -> -I}, {x -> 2}, {x -> -2}} ;[o] {{x -> I}, {x -> -I}, {x -> 2}, {x -> -2}} y=2x^4+5x^2+2==0; Solve[y,x] {{x -> I*2^(1/2)}, {x -> -I*2^(1/2)}, {x -> I/2^(1/2)}, {x -> -I/2^(1/2)}} {{x -> I Sqrt[2]}, {x -> -I Sqrt[2]}, {x -> -------}, {x -> -------}} Sqrt[2] Sqrt[2] y=x^4-18x^2+81==0; Solve[y,x] {{x -> 3}, {x -> -3}, {x -> 3}, {x -> -3}} ;[o] {{x -> 3}, {x -> -3}, {x -> 3}, {x -> -3}} y=a^2 x^4-(a^4+1) x^2+a^2==0; Solve[y,x] {{x -> a}, {x -> -a}, {x -> a^(-1)}, {x -> -a^(-1)}} ;[o] 1 1 {{x -> a}, {x -> -a}, {x -> -}, {x -> -(-)}} a a y=x^4-(a^4-a^2) x^2-a^6==0; Solve[y,x] {{x -> a^2}, {x -> -a^2}, {x -> I*a}, {x -> -I*a}} ;[o] 2 2 {{x -> a }, {x -> -a }, {x -> I a}, {x -> -I a}}
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