algebra · worked example

Solve x² - 9 = 0

Method: selisih kuadrat. Verified step-by-step solution with our free AI math solver.
Problem

x29=0x^2 - 9 = 0

Step-by-step solution

  1. Kenali x29x^2 - 9 sebagai selisih kuadrat a2b2a^2 - b^2 dengan a=xa = x dan b=3b = 3.

  2. Terapkan identitas a2b2=(ab)(a+b)a^2 - b^2 = (a-b)(a+b): (x3)(x+3)=0(x - 3)(x + 3) = 0.

  3. Setarakan setiap faktor dengan nol: x3=0x - 3 = 0 atau x+3=0x + 3 = 0.

  4. Selesaikan: x=3x = 3 atau x=3x = -3.

Answer

x=3orx=3x = 3 \quad \text{or} \quad x = -3

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