Matematika

Pertanyaan

yang ini kak 19 sampai 25 pake cara??
yang ini kak 19 sampai 25 pake cara??

1 Jawaban

  • 19) ( 5 / 2- √3 ) × ( 2+√3 / 2+√3 )

    = 5 × ( 2+√3 )
    --------------------
    ( 2- √3 × 2+√3 )

    = 5 ( 2 + √3 )
    --------------------
    ( 4 - 3 )

    = 5 ( 2 + √3 )
    --------------------
    1

    = 5 ( 2 + √3)

    = 10 + 5√3 ( C )

    20) ( 7 / √5+√3 ) × ( √5-√3 / √5-√3 )

    = 7 × ( √5 - √3 )
    --------------------------------
    ( √5+√3 ) × ( √5 - √3)

    = 7 ( √5 - √3 )
    ----------------------
    5 - 3

    = 7 ( √5 - √3)
    ----------------------
    2

    = 7/2 (√5 - √3) ( A )

    21) ( 6 / √7-√11) × (√7+√11 / √7+√11 )

    = 6 × ( √7 + √11 )
    ---------------------------------
    ( √7 - √11) × ( √7 + √11)

    = 6 ( √7 + √11 )
    ------------------------
    7 - 11

    = 6 ( √7 + √11)
    ----------------------
    - 4

    = - 3/2 ( √7 + √11 ) ( B )

    22) ( 13 / 5+2√3 ) × ( 5-2√3 / 5-2√3 )

    = 13 × ( 5 - 2√3 )
    ---------------------------------
    ( 5 + 2√3 ) × ( 5 - 2√3)

    = 13 ( 5 - 2√3 )
    ----------------------
    25 - 12

    = 13 ( 5 - 2√3 )
    -----------------------
    13

    = 5 - 2√3 ( B )

    23) ( ³√2 )^ x+10 = 8

    (2^⅓)^x+10 = 2³

    => (⅓) x + 10 = 3

    => ⅓x + 10/3 = 3

    => ⅓x = 3 - 10/3

    => ⅓x = 9/3 - 10/3

    => ⅓x = - ⅓

    => x = - 1 ( C )

    24) 2^x • (2^x+1)^x • (2^x)^1-x = 8

    2^x • 2^x²+x • 2^x-x² = 2³

    => x + (x² + x) + (x - x²) = 3

    => x + x + x + x² - x² = 3

    => 3x = 3

    => x = 1 = 2^0 ( A )

    25) √2 + √3 - ( -2√5 + √3 )

    = √2 + 2√5 + √3 - √3

    = √2 + 2√5 ( A )