Matematika

Pertanyaan

Tolong di jawab uji kompetensi 3 no. 1-6,
Trimkaih sebelumnya
Tolong di jawab uji kompetensi 3 no. 1-6, Trimkaih sebelumnya

1 Jawaban

  • 1. |x+7| = 2
    √(x+7)² = 2
    (x+7)² = 2²
    (x+7)² - 2² = 0
    (x+7+2)(x+7-2) = 0
    (x+9)(x+5) = 0
    maka x = -9 atau x = -5
    hp={-9,-5)

    2. |4-x| = 3
    √(4-x)² = 3
    (4-x)² = 3²
    (4-x)² - 3² = 0
    (4-x+3)(4-x-3) = 0
    (-x+7)(-x+1) = 0
    maka x = 1 atau x = 7
    hp ={1,7}

    3. |3x+2| = 5
    √(3x+2)² = 5
    (3x+2)² = 5²
    (3x+2)² - 5² = 0
    (3x+2+5)(3x+2-5) = 0
    (3x + 7)(3x-3) = 0
    x = -7/3 , x = 3/3

    hp ={-7/3, 3/3}

    4. |2x-1| = 7
    √(2x-1)² = 7
    (2x-1)² = 7²
    (2x-1)² - 7² = 0
    (2x-1+7)(2x-1-7) = 0
    (2x+6)(2x-8) =0
    x = -6/2 , x = 8/2

    hp={-6/2, 8/2}

    5. |8-5x| = 3
    √(8-5x)² = 3
    (8-5x)² = 3²
    (8-5x)² - 3² = 0
    (8-5x+3)(8-5x-3) = 0
    (-5x+11)(-5x+5) = 0
    x = 11/5 , x = 5/5

    hp ={11/5 , 5/5}

    6. |x-2| = |x+5|
    √(x-2)² = √(x+5)²
    (x-2)² = (x+5)²
    (x-2)² - (x+5)² = 0
    (x-2+x+5)(x-2-x-5) = 0
    (2x + 3)(-7) = 0
    x = -3/2 , x = 7

    hp ={-3/2, 7}


    semoga membantu maaf kalau salah, saya juga baru belajar:)