Matematika

Pertanyaan

Tentukan himpunan dari :

1. 2x -8 = 8x - 12
2. 5x - 4 < 2x - 8
3. 8x -2 (2x -1) >/ 5x
4. X^2 - 6x - 16 = 0
5. X^2 + 2x - 15 = 0
6. X^2 + 8x - 9 = 0
7. X^2 + 8x + 7 = 0

1 Jawaban

  • 1) 2x - 8 = 8x - 12
    2x - 8x = - 12 + 8
    - 6x = - 4
    x = - 4/6
    x = - ⅔
    hp = { - ⅔}

    2) 5x - 4 < 2x - 8
    5x - 2x < 4 - 8
    3x < - 4
    x < - 4/3
    hp = { x < - 4/3 }

    3) 8x - 2 (2x - 1) >/ 5x
    8x - 4x + 2 >/ 5x
    4x + 2 >/ 5x
    4x - 5x >/ - 2
    - x \< - 2
    x \< 2
    hp = { x \< 2}

    4) x² - 6x - 16 = 0
    ( x - 8) ( x + 2) = 0
    x = 8 atau x = - 2
    hp = { -2 , 8 }

    5) x² + 2x - 15 = 0
    ( x + 5) ( x - 3) = 0
    x = - 5 atau x = 3
    hp = { - 5 , 3 }

    6) x² + 8x - 9 = 0
    ( x + 9 ) ( x - 1) = 0
    x = - 9 atau x = 1
    hp = { -9 , 1}

    7) x² + 8x + 7 = 0
    ( x + 7)(x + 1) = 0
    x = - 7 atau x = - 1
    hp = { - 1, - 7 }

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