algebra · worked example

Solve x² - 25 = 0

Method: разность квадратов. Verified step-by-step solution with our free AI math solver.
Problem

x225=0x^2 - 25 = 0

Step-by-step solution

  1. Распознайте как разность квадратов с a=xa = x, b=5b = 5.

  2. Примените a2b2=(ab)(a+b)a^2 - b^2 = (a-b)(a+b): (x5)(x+5)=0(x - 5)(x + 5) = 0.

  3. Приравняйте каждый множитель к нулю: x=5x = 5 или x=5x = -5.

Answer

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

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