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Answer:
x = 5/2 and 3.
Step-by-step explanation:
Factor the equation. Find numbers that will sum up to -11 involving the coefficient of 2, and that multiply into 15.
2x² - 11x + 15 = 0
(2x - 5)(x - 3) = 0
Use the Zero Product Property to solve for the roots of this equation:
2x - 5 = 0
2x = 5
x = 5/2
----------
x - 3 = 0
x = 3.
Therefore, the two values of x that are roots of this equation are:
x = 5/2 and 3.
