If $(a-b)$ and $(a+b)$ are the zeroes of the polynomial $f(x)=2x^3-6x^2+5x-7$ find the value of $a$ and $b$. I solved this problem considering ${x-(a-b)} , {x-(a+b)}$ but I could not evaluate the values of a and b
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1The function $f(x)=2x^3-6x^2+5x-7$ has only one real root. – rae306 Jul 13 '14 at 16:16
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Do $a,b$ have to be real numbers and non zero? If so they do not exist. $f(x)$ has one real root (and it's messy) and two complex conjugate roots. – coffeebelly Jul 13 '14 at 16:57
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Is the problem wrong? – Achari S Ganesha Jul 13 '14 at 17:13