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

Toán Lớp 9: ( √x – 3 ) / ( 2 – √x ) + ( √x – 2 ) / ( 3 + √x ) – ( 9 -x ) / ( x + √x – 6 ) ĐKXĐ x lớn hơn hoặc bằng 0 và x khác 4

Toán Lớp 9: ( √x – 3 ) / ( 2 – √x ) + ( √x – 2 ) / ( 3 + √x ) – ( 9 -x ) / ( x + √x – 6 )
ĐKXĐ x lớn hơn hoặc bằng 0 và x khác 4

Comments ( 2 )

  1. Giải đáp:
    ↓↓↓
    Lời giải và giải thích chi tiết:
    ĐKXĐ : x \ge 0 , x \ne 4
    (sqrtx-3)/(2-sqrtx) + (sqrtx-2)/(3+sqrtx) – (9-x)/(x+sqrtx-6)
    = -(sqrtx-3)/(sqrtx-2) + (sqrtx-2)/(3+sqrtx) – ((3-sqrtx)(3+sqrtx))/(x+3sqrtx-2sqrtx-6)
    = -(sqrtx-3)/(sqrtx-2) + (sqrtx-2)/(3+sqrtx) – ((3-sqrtx)(3+sqrtx))/((sqrtx(sqrtx+3)-2(sqrtx+3))
    = -(sqrtx-3)/(sqrtx-2) + (sqrtx-2)/(3+sqrtx) – ((3-sqrtx)(3+sqrtx))/((sqrtx+3)(sqrtx-2))
    = -(sqrtx-3)/(sqrtx-2) + (sqrtx-2)/(3+sqrtx) – (3-sqrtx)/(sqrtx-2)
    = (-(3+sqrtx)(sqrtx-3)+(sqrtx-2)^2-(3+sqrtx)(3-sqrtx))/((sqrtx-2)(3+sqrtx))
    = (-(sqrtx+3)(sqrtx-3)+(sqrtx-2)-(9-x))/((sqrtx-2)(3+sqrtx))
    = (-(x-9)+(sqrtx-2)^2-9+x)/((sqrtx-2)(3+sqrtx))
    = (-x+9+(sqrtx-2)^2-9+x)/((sqrtx-2)(3+sqrtx))
    = (sqrtx-2)/(3+sqrtx)

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