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

Toán Lớp 9: √x-3 + √25x-75 -1/3 √9x-27 =30

Toán Lớp 9: √x-3 + √25x-75 -1/3 √9x-27 =30

Comments ( 2 )

  1. #tnvt
    \sqrt{x-3}+\sqrt{25x-75}-1/3\sqrt{9x-27}=30(x>=3)
    <=>\sqrt{x-3}+\sqrt{25(x-3)}-1/3\sqrt{9(x-3)}=30
    <=>\sqrt{x-3}+5\sqrt{x-3}-\sqrt{x-3}=30
    <=>5\sqrt{x-3}=30
    <=>\sqrt{x-3}=6
    =>x-3=36
    <=>x=39(tm)
    Vậy x=39
     

  2. Lời giải:
    \sqrt{x-3}+\sqrt{25x-75}-1/(3).\sqrt{9x-27}=30  (ĐKXĐ : x≥3)
    ⇔\sqrt{x-3}+\sqrt{25.(x-3)}-1/(3).sqrt{9.(x-3)}=30
    ⇔\sqrt{x-3}+5\sqrt{x-3}-\sqrt{x-3}=30
    ⇔5\sqrt{x-3}=30
    ⇔\sqrt{x-3}=6
    ⇔x-3=6^2
    ⇔x-3=36
    ⇔x=36+3
    ⇔x=39 (Thỏa mãn ĐKXĐ)
    Vậy S={39}

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

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