Matematika

Pertanyaan

1. a + b = 11 a=
a × b = 3a b=

2.a + b = -1 a=
a × b = -12 b=

3.a + b = -10 a=
a × b = 21 b=

jawab please :")

1 Jawaban

  • 1. a x b = 3a ↝ b = 3a/a = 3
    a + b = 11↝a + 3 = 11↝a = 11 - 3 = 7

    2. a x b = -12 ↝ a = -12/b
    a + b = -1 ↝ (-12/b) + b = -1
    (-12+b²)/b = -1
    -12 + b² = -1 x b
    b² - 12 = -b
    b² + b - 12 = 0
    (b - 3)(b + 4) = 0
    b1 = 3 ∨ b2 = -4

    #b1 = 3 ↝ a + b = -1
    a + 3 = -1 ↝a = -1 - 3 = -4
    #b2 = -4 ↝ a + b = -1
    a + (-4) = -1 ↝ a = -1 + 4 = 3

    jadi (a,b) ↝ (-4,3) ∨ (3,-4)

    3. a + b = -10 ↝ a = -10 - b
    a x b = 21 ↝ (-10 - b) x b = 21
    -10b - b² = 21
    b² + 10b + 21 = 0
    (b + 3)(b + 7) = 0
    b1 = -3 ∨ b2 = -7

    #b1 = -3 ↝ a + b = -10
    a + (-3) = -10 ↝a = -10 + 3 = -7
    #b2 = -7 ↝ a + b = -10
    a + (-7) = -10 ↝ a = -10 + 7 = -3

    jadi (a,b) ↝ (-7,-3) ∨ (-3,-7)

    semoga membantu ^^

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