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

Toán Lớp 7: 2014.|x-12|+(x-12)^2=2013.|12-x| . Tìm x

Toán Lớp 7: 2014.|x-12|+(x-12)^2=2013.|12-x| . Tìm x

Comments ( 2 )

  1. Lời giải và giải thích chi tiết:
    2014 . |x – 12| + (x – 12)^2 = 2013 . |12 – x|
    Do  |x – 12| = |12 – x|
    -> 2014 . |x – 12| + (x – 12)^2 = 2013 . |x – 12|
    -> 2014 . |x – 12| + (x – 12)^2 – 2013 . |x – 12| = 0
    -> |x – 12| + (x – 12)^2 = 0
    Do  |x – 12| ; (x – 12)^2 ≥ 0
    → |x – 12| + (x – 12)^2 ≥ 0
    → |x – 12| = 0 → x – 12 = 0 → x = 12
    → (x – 12)^2 = 0 → x – 12 = 0 → x = 12
    Vậy  x = 12

  2. $ 2014.|x-12|+(x-12)^2=2013.|12-x| $
    $ ⇒ 2014.|x−12|+(x-12)^2-2013. |x−12| =0 $
    $ ⇒(2014-2013).|x−12|+(x-12)^2=0 $ 
    $ ⇒ |x−12|+(x−12)^2 =0 $ 
    $ | x-12 | ; ( x-12)^2 ≥ 0 ; |x−12|+(x−12)^2 =0 $ 
    $ ⇒ $ \(\left[ \begin{array}{l}|x-12|=0⇒x-12=0⇒x=0+12=12\\(x-12)^2=0⇒x-12=0⇒x=0+12=12\end{array} \right.\) 
    $ ⇒ x=12 $
     

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

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