Matematika

Pertanyaan

Tolong selesaikan
|4-x| = |3+2x|

2 Jawaban

  • |4 - x| = |3 + 2x|
    4 - x = 3 + 2x
    4 + 3 = 2x + x
    7 = 3x
    x = 7/3
    4 - x = -(3 + 2x)
    4 - x = -3 - 2x
    4 - 3 = 2x - x
    1 = x
    x = 1
  • |4-x| = |3+2x|
    |4-x|² = |3+2x|² => |x|²= x²
    (4-x)² = (3+2x)²
    (4-x)² - (3+2x)²=0 => a²-b²=(a+b)(a-b)=0
    ((4-x)+(3+2x))((4-x)-(3+2x))
    (4-x+3+2x)(4-x-3-2x)
    (x+7)(-3x+1)=0
    x₁=x + 7=0
    x₁= x= -7

    x₂= -3x + 1=0
    x₂= -3x= -1
    x₂= x= -1/-3=1/3

    HP={-7, 1/3}
    Semoga membantu

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