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29 December, 01:47

Find the zeros of the function g (x) = 2x2 - 5x + 2.

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  1. 29 December, 01:50
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    G (x) = 2x² - 5x + 2 = 2x² - 4x - x + 2 = 2x · x - 2x · 2 - 1 · x - 1 · (-2)

    = 2x (x - 2) - 1 (x - 2) = (x - 2) (2x - 1)

    g (x) = 0 ⇔ (x - 2) (2x - 1) = 0 ⇔ x - 2 = 0 or 2x - 1 = 0

    x = 2 or x = 0.5
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