algebra · worked example

Solve 4x² - 25 = 0 — x = 5/2 or x = -5/2

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

4x225=04x^2 - 25 = 0

Step-by-step solution

  1. इसे वर्गों के अंतर के रूप में पहचानें: 4x2=(2x)24x^2 = (2x)^2, 25=5225 = 5^2

  2. गुणनखंडन करें: (2x5)(2x+5)=0(2x - 5)(2x + 5) = 0

  3. हल करें: x=52x = \tfrac{5}{2} या x=52x = -\tfrac{5}{2}

Answer

x=52orx=52x = \tfrac{5}{2} \quad \text{or} \quad x = -\tfrac{5}{2}

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