(Solution) - Find the roots of these quadratic equations Express them as -(2025 Original AI-Free Solution)

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Academic Level: Undergrad. (yrs 3-4)

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Find the roots of these quadratic equations. Express them as fractions.
a. 0 = 3x2 - 13x - 10
b. 0 = 6x2 - 11x + 3
c. List all the factors of the constant term, c, and the leading coefficient, a, for 14a and b. What do you notice about the relationship between the factors of a and c, and the roots of the functions?