Matematika

Pertanyaan

solve the following equations
a | 2x + 5 | = | x + 2 |

2 Jawaban

  • | 2x + 5 | = | x + 2 |
    (2x+5)
    ² = (x+2)²
    4x² + 20x + 25 = x² + 4x + 4
    4x² - x² + 20x - 4x + 25 - 4 = 0
    3x² + 16x + 21 = 0
    (3x+7)(x+3) = 0

    3x+7 = 0
    3x = -7
    x = -7/3

    x+3 = 0
    x = -3

    HP = {-3, -7/3}

  • (2x+5)^2 - (x+2)^2 =0
    4x^2 + 20x + 25 -( x^2 +4x +4) =0
    3x^2 + 16x + 21 = 0
    (3x+7)(x+3) = 0 [difaktorkan]
    x= -7 /3 atau x= -3

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