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15 December, 06:34

2xsquare+12x+19

Find the minimum value of f (x)

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Answers (1)
  1. 15 December, 06:50
    0
    Converting to vertex form is one way of doing this

    2x^2 + 12x + 19

    = 2 (x^2 + 6x) + 19

    = 2 [ x + 3) ^2 - 9] + 19

    = 2 (x + 3) ^2 - 18 + 19

    = 2 (x + 3) ^2 + 1

    the minimum value is 1
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