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11 July, 18:42

Find the range of values for which

x2-5x + 6 < 0

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Answers (1)
  1. 11 July, 19:23
    0
    -2
    or x∈ (-2,3)

    Step-by-step explanation:

    x²-5x<-6

    add (-5/2) ² i. e.,25/4

    x²-5x+25/4<-6+25/4

    (x-5/2) ²< (-24+25) / 4

    (x-5/2) ²<1/4

    (x-5/2) ²< (1/2) ²

    |x-5/2|<1/2

    -1/2
    Add 5/2

    -1/2+5/2
    -2
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