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Find the equation whose roots are1, 2 |
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Answer» N roots are −1±i,−1±
(x+1−i)(x+1+i)(x+1− 2
)(x+1+ 2
) =[(x+1) 2 −i 2 ][(x+1) 2 −( 2
) 2 ] =(x 2 +2x+1+1)(x 2 +2x+1−2) =(x 2 +2x+2)(x 2 +2x−1) =x +2x 3 −x 2 +2x 3 +4x 2 −2x+2x 2 +4x−2 =x 4 +4x 3 +5X 2 +2x−2 |
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