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

Toán Lớp 9: Tìm x biết √9(x-1) – √x-1 =20 chứng minh (a√a+b√b / √a +√b -√ab ) ( √a+√b / a-b )^2

Toán Lớp 9: Tìm x biết √9(x-1) – √x-1 =20
chứng minh (a√a+b√b / √a +√b -√ab ) ( √a+√b / a-b )^2

Comments ( 2 )

  1. 1) \sqrt{9(x-1)}-\sqrt{x-1}=20 (x>=1)
    <=>3\sqrt{x-1}-\sqrt{x-1}=20
    <=>2\sqrt{x-1}=20
    <=>\sqrt{x-1}=10
    <=>x-1=100
    <=>x=101 ™
    Vậy x=101
    2) ((a\sqrt{a}+b\sqrt{b})/(\sqrt{a}+\sqrt{b}-\sqrt{ab})).((\sqrt{a}+\sqrt{b})/(a-b))^2
    =((\sqrt{a}+\sqrt{b})(a-\sqrt{ab}+b))/(a-\sqrt{ab}+b).((\sqrt{a}+\sqrt{b})/((\sqrt{a}-\sqrt{b})(\sqrt{a}+\sqrt{b})))^2
    =(\sqrt{a}+\sqrt{b}).(1)/(\sqrt{a}-\sqrt{b})^2
    =(\sqrt{a}+\sqrt{b})/((\sqrt{a}-\sqrt{b})^2)
     

  2. Đáp án:
     
    Giải thích các bước giải:
     

    toan-lop-9-tim-biet-9-1-1-20-chung-minh-a-a-b-b-a-b-ab-a-b-a-b-2

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