If the zeroes of the polynomial x' - 3x2 + x + 1 are a - b, a, a +b, find a and b.
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Explanation:
Sum of zeroes
=3
Product of zeroes
=-1
a-b+a+a+b=3
a=1
(1-b)(1+b)=-1
1-b^2=-1
b=√2
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