if p and q are the roots of the equation x^2-x+q =0 then
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Sum of roots = p
=> p + q = p
=> q = 0
Product of roots = q
=> pq = q
=> pq - q = 0
=> q (p - 1) = 0
=> q = 0, p = 1
The values of p and q hence found are p = 1, and q = 0. This makes the original equation x^2 - x = 0.
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