( x + 1/2 ) + ( x + 1/4 ) + ( x + 1/8 ) + ( x + 1/16 ) = 1

Question

( x + 1/2 ) + ( x + 1/4 ) + ( x + 1/8 ) + ( x + 1/16 ) = 1

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Kaylee 1 tuần 2021-09-02T13:26:15+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-09-02T13:27:41+00:00

    `(x+1/2)+(x+1/4)+(x+1/8)+(x+1/16)=1`

    `⇔4×x+1/2+1/4+1/8+1/16=1`

    `⇔4×x+(8+4+2+1)/16=1`

    `⇔4×x+15/16=1`

    `⇔4×x=1/16`

    `⇔x=1/16:4`

    `⇔x=1/64`

     

    0
    2021-09-02T13:28:05+00:00

    Đáp án:

     

    Giải thích các bước giải:

    ( x + 1/2 ) + ( x + 1/4 ) + ( x + 1/8 ) + ( x + 1/16 ) = 1

     ( x + x + x + x ) + ( $\frac{1}{2}$ + $\frac{1}{4}$ + $\frac{1}{8}$ + $\frac{1}{16}$ ) = 1

    4x + ( $\frac{1.8}{16}$ + $\frac{1. 4}{16}$ + $\frac{1.2}{16}$ + $\frac{1}{16}$ ) = 1

      4x + $\frac{15}{16}$ = 1

     4x = 1 – $\frac{15}{16}$

    4x = $\frac{1}{16}$

    x = $\frac{1}{16}$ : 4

    x = $\frac{1}{16}$ : 4

    chú ý :  dấu ” . ” giữa 2 số là dấu nhân nhé )

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