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

Toán Lớp 7: Giúp mik vsssssssssssssssssssss $\frac{3}{(x+2)(x+5)}$ +$\frac{5}{(x+5)(x+10)}$+$\frac{7}{(x+10)(x+17)}$=$\frac{x}{(x+2)(x+17)}$

Toán Lớp 7: Giúp mik vsssssssssssssssssssss $\frac{3}{(x+2)(x+5)}$ +$\frac{5}{(x+5)(x+10)}$+$\frac{7}{(x+10)(x+17)}$=$\frac{x}{(x+2)(x+17)}$

Comments ( 1 )

  1. Giải đáp:
     x = 15
    Lời giải và giải thích chi tiết:
     3/( (x+2)(x+5)) + 5/((x+5)(x+10)) + 7/((x+10)(x+17)) = x/((x+2)(x+17)) (x \ne -2 ; -5 ; -10 ; -17)
    1/(x+2) – 1/(x+5) + 1/(x+5) – 1/(x+10) + 1/(x+10) – 1/(x+17) = x/((x+2)(x+17))
    1/(x + 2) – 1/(x+17) = x/((x+2)(x+17))
    (x+17)/((x+2)(x+17)) – (x+2)/((x+2)(x+17)) = x/((x+2)(x+17))
    (x+17 – x – 2)/((x+2)(x+17)) = x/((x+2)(x+17))
    15/((x+2)(x+17)) = x/((x+2)(x+17))
    => 15 = x (Thỏa mãn)
    Vậy x = 15

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

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