Asked by nishtha
If alpha, beta are the zeroes of x2-2x+3, find a quadratic equation whose roots are (alpha-1)(beta+1), (beta-1)(beta+1)
Answers
Answered by
Steve
since the roots of the quadratic are 1±√2 i
(alpha-1) and (beta-1) are ±√2 i
If you want real coefficients, this will not produce the required complex conjugates.
I suspect a typo. So, fix that and then just plug and chug.
(alpha-1) and (beta-1) are ±√2 i
If you want real coefficients, this will not produce the required complex conjugates.
I suspect a typo. So, fix that and then just plug and chug.
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