algebra · worked example

Solve x² - 25 = 0

Method: वर्गों का अंतर. Verified step-by-step solution with our free AI math solver.
Problem

x225=0x^2 - 25 = 0

Step-by-step solution

  1. a=xa = x, b=5b = 5 के साथ वर्गों के अंतर के रूप में पहचानें।

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

  3. प्रत्येक गुणनखंड को शून्य के बराबर रखें: x=5x = 5 या x=5x = -5

Answer

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

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