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algebra · worked example

Solve x² + 2x + 1 = 0 — x = -1 (double root)

Method: पूर्ण वर्ग. Verified step-by-step solution with our free AI math solver.
Problem

x2+2x+1=0x^2 + 2x + 1 = 0

Step-by-step solution

  1. x2+2x+1x^2 + 2x + 1 को a=xa = x, b=1b = 1 के साथ (a+b)2=a2+2ab+b2(a+b)^2 = a^2 + 2ab + b^2 से मेल खाने वाला पूर्ण वर्ग त्रिपद पहचानें।

  2. गुणनखंड करें: (x+1)2=0(x + 1)^2 = 0।

  3. दोनों पक्षों का वर्गमूल लें: x+1=0x + 1 = 0।

  4. हल करें: x=−1x = -1 — एक पुनरावृत्त मूल (बहुलता 2)।

Answer

x=−1(double root)x = -1 \quad \text{(double root)}

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