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

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04-08-2016
Mathematics

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

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dalendrk dalendrk · Answer 1 · 2016-08-04T20:14:08+02:00

dalendrk dalendrk

04-08-2016

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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