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Difficulty: Medium One way to do this problem is to think about the properties of roots. Suppose the two roots of a quadratic equation are a and b. Then the quadratic equation can be written in factored form as (x minus a) times (x minus b) = 0. The sum of the roots is a + b, and the product is a times b. Note that(x minus a) times (x minus b) = x^2 minus ((a + b) times x) + (a times b). In ...
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