Matematika

Pertanyaan

4x² - 2x = 7. Tentukan nilai X1² + X2²

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  • 4x² - 2x = 7
    4x² - 2x - 7 = 0

    maka
    a = 4
    b = -2
    c = -7

    x₁ + x₂ = -b/a
               = -(-2) / 4
               = 2/4
               = 1/2

    x₁ . x₂ = c/a
               = -7/4

    x₁² + x₂² = (x₁ + x₂)² - 2.x₁.x₂
                  = (1/2)² - 2 (-7/4)
                  = 1/4 + 14/4
                  = 15/4

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