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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 8: Tìm GTLN hoặc GTNN của `B = 2014 – x^2 + 5x`

Toán Lớp 8: Tìm GTLN hoặc GTNN của B = 2014 – x^2 + 5x

Comments ( 2 )

  1. B =2014 -x^2+5x
    => B = -x^2 +5x+2014
    => B = -(x^2 -5x-2014)
    => B = -(x^2 – 2 . x . 5/2 + 25/4 -8081/4)
    => B = -(x -5/2)^2 + 8081/4 \ge 8081/4 AA x
    $\\$
    Vậy Min B = 8081/4 <=> x -5/2 =0 <=> x =5/2.

  2. B=2014-x^2+5x
    B=2014-(x^2-5x)
    B=2014-(x^2-5x+(5/2)^2 – (5/2)^2)
    B=2014-(x-5/2)^2+ 25/4
    B=2020,25 – (x-5/2)^2
    B=-(x-5/2)^2+2020,25
    =>-(x-5/2)^2 + 2020,25 ≤2020,25 với mọi x
    Vậy Max B =2025,25 =>x-5/2=0⇔x=5/2
     

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222-9+11+12:2*14+14 = ? ( )

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