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

Toán Lớp 7: b) Tìm x, biết: i) x/5=3/20 ; ii) x/15=60/x ; iii) 2-x/4=3x-1/-3 ; iv) 12-3x/32=6/4-x .

Toán Lớp 7: b) Tìm x, biết:
i) x/5=3/20 ; ii) x/15=60/x ;
iii) 2-x/4=3x-1/-3 ; iv) 12-3x/32=6/4-x .

Comments ( 2 )

  1. i) $\dfrac{x}{5}$ = $\dfrac{3}{20}$
    ⇔ x . 20 = 5 . 3
    ⇔ x . 20 = 15
    ⇒ x = $\dfrac{3}{4}$
    ii) $\dfrac{x}{15}$ = $\dfrac{60}{x}$
    ⇔ x . x = 15 . 60
    ⇔ x² = 900
    ⇔ x = $\sqrt{900}$
    ⇒ x = 30
    iii) $\dfrac{2 – x}{4}$ = $\dfrac{3x – 1}{-3}$
    ⇔ -3( 2 – x ) = 4( 3x – 1)
    ⇔ -6 + 3x = 12 – 4
    ⇔ 3x – 12x = -4 + 6
    ⇔ -9x = 2
    ⇒ x = $\dfrac{-2}{9}$
    iv) $\dfrac{12- 3x }{32}$ = $\dfrac{6}{4 – x}$
    ⇔ $\dfrac{12 – 3x }{32}$ = $\dfrac{6}{4 – x}$
    ⇔ $\dfrac{3( 4 – x) }{32}$ = $\dfrac{6}{4 – x}$
    ⇔ ( 4 – x )² = 64
    ⇔ 4 – x = ± 8
    ⇒ x = -4 hoặc x = 12
       no coppy
    xin 5*,cảm ơn và ctlhn cho nhóm :))

  2. Lời giải và giải thích chi tiết:
     i/
    $\frac{x}{5}=\frac{3}{20}\\⇔x=\frac{15}{20}$
    ii/
    $\frac{x}{15}=\frac{60}{x}\\⇔x^2=900\\⇔x=±30$
    iii/
    $\frac{2-x}{4}=\frac{3x-1}{-3}\\⇔-6+3x=12x-4\\⇔9x=-2\\⇔x=\frac{-2}{9}$
    iv/
    $\frac{12-3x}{32}=\frac{6}{4-x}\\⇔3x^2-24x+48=192\\⇔3x^2-24x-144=0\\⇔\left \{ {{x=-4} \atop {x=12}} \right.$ (tự giải phương trình nha )
    #X

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

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