📘 algebra, combinatorics
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Cryptarithm Grid
1. **Problem 1: Solve the cryptarithm** $8 \cdot FLYFLY = BUGBUG$ and find $FLY + BUG$.
2. The cryptarithm represents a multiplication where each letter is a digit. We interpret $F
Roots And Combinations
1. **Problem 1:** Find the set of possible values of $k$ such that the quadratic equation $$2x^2 + (3k - 2)x + k = 0$$ has real and distinct roots.
2. For a quadratic equation $ax^