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algebra · worked example

Solve x² - 25 = 0 — x = 5 or x = -5

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

x2−25=0x^2 - 25 = 0

Step-by-step solution

  1. Kenali sebagai selisih dua kuadrat dengan a=xa = x, b=5b = 5.

  2. Terapkan a2−b2=(a−b)(a+b)a^2 - b^2 = (a-b)(a+b): (x−5)(x+5)=0(x - 5)(x + 5) = 0.

  3. Setarakan setiap faktor dengan nol: x=5x = 5 atau x=−5x = -5.

Answer

x=5orx=−5x = 5 \quad \text{or} \quad x = -5

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