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

Toán Lớp 9: c)x – 7√x – 8 = 0 a)√(√11 -4)^2 + √11 b)√(√3 -6)^2 – √7-4√3

Toán Lớp 9: c)x – 7√x – 8 = 0
a)√(√11 -4)^2 + √11
b)√(√3 -6)^2 – √7-4√3

Comments ( 1 )

  1. c)x-7\sqrtx-8=0(x>=0)
    Đặt t=\sqrtx(t>=0)
    pt<=>t^2-7t-8=0
    <=>t^2-8t+t-8=0
    <=>t(t-8)+t-8=0
    <=>(t-8)(t+1)=0
    Mà t>=0=>t+1>=1>0
    <=>t-8=0
    <=>t=8
    <=>\sqrtx=8
    <=>x=64(tmđk)
    Vậy S={64}.
    a)\sqrt{(\sqrt{11}-4)^2}+\sqrt{11}
    =|\sqrt{11}-4|+\sqrt{11}
    =4-\sqrt{11}+\sqrt{11}(do \ 4=\sqrt{16}>\sqrt{11})
    =4
    b)\sqrt{(\sqrt3-6)^2}-\sqrt{7-4\sqrt3}
    =|\sqrt3-6|-\sqrt{4-2.2.\sqrt3+3}
    =6-\sqrt3-\sqrt{(2-\sqrt3)^2}
    =6-\sqrt3-2+\sqrt3
    =4

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