Matematika

Pertanyaan

Penyelesaian dari |2c + 9| = |c - 3|

2 Jawaban

  • Kelas 10 Matematika
    Bab Nilai Mutlak

    | 2c + 9 | = | c - 3 |

    (2c + 9)² = (c - 3)²
    (2c + 9)² - (c - 3)² = 0
    (2c + 9 + c - 3) (2c + 9 - c + 3) = 0
    (3c + 6) (c + 12) = 0
    3c + 6 = 0
    3c = -6
    c = -2

    c + 12 = 0
    c = -12
  • ¦2c+9¦=¦c-3¦
    => sifat ¦x¦=¦y¦
    x^2=y^2
    (2c+9)^2=(c-3)^2
    (2c+9)(2c+9)=(c-3)(c-3)
    4c^2+18c+18c+81=c^2-3c-3c+9
    4c^2+36c+81=c^2-6c+9
    4c^2+36c+81-c^2+6c-9=0
    3c^2+42c+72=0 :3
    c^2+14+24=0
    (c+12)(c+2)
    =>c+12=0
    c=-12
    =>c+2=0
    c=-2

    slse trima kasih

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