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Common root in quadratic combinations (Posted on 2025-03-08) Difficulty: 3 of 5
Let P(x) = x2 - 3x - 7, and let Q(x) and R(x) be two quadratic polynomials also with the coefficient of x2 equal to 1. David computes each of the three sums P + Q, P + R, and Q + R and is surprised to find that each pair of these sums has a common root, and these three common roots are distinct. If Q(0) = 2, then find R(0).

No Solution Yet Submitted by Danish Ahmed Khan    
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  Subject Author Date
corrected eqns.Steven Lord2025-03-11 08:27:55
re: ThoughtsSteven Lord2025-03-11 05:53:07
re: ThoughtsJer2025-03-10 13:26:00
Some ThoughtsThoughtsBrian Smith2025-03-10 12:36:02
unsuccessful attemptSteven Lord2025-03-10 00:46:05
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