Matematika

Pertanyaan

(x+3)^2=16x menggunakan rumus abc

2 Jawaban

  • (x + 3)² = 16x
    x² + 6x + 9 = 16x
    x² - 10x + 9 = 0

    x1 = (10 + √(100 - (4 . 9))) / 2
    x1 = (10 + √(100 - 36)) / 2
    x1 = (10 + √64) / 2
    x1 = (10 + 8) /2
    x1 = 18 / 2
    x1 = 9

    x2 = (10 - √(100 - (4 . 9))) / 2
    x2 = (10 - √(100 - 36)) / 2
    x2 = (10 - √64) / 2
    x2 = (10 - 8) /2
    x2 = 2 / 2
    x2 = 1
  • Persamaan Kuadrat.

    (x + 3)² = 16x
    x² + 6x + 9 - 16x = 0
    x² - 10 + 9 = 0 ← Bentuk ax² + bx + c = 0

    x₁₂ = [-b ± √(b² - 4ac)] / (2a)
          = {10 ± √[(-10)² - 4(1)(9)]} / [2(1)]
          = (10 ± 8) / 2
    x₁ = (10 + 8) / 2 = 9
    atau
    x₂ = (10 - 8) / 2 = 1 

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