(x-r)(x-s) = 0 x^2 - rx - sx + rs = 0 x^2 + x(-r-s) + rs = 0 compare with ax^2 + bx + c = 0 or x^2 + (b/a)x + c/a = 0 then -r-s = b/x ---> r+s = -b/a and c/a = rs so r+s = -b/a and rs = c/a
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