algebra · worked example

Solve x² + 4x + 4 = 0 — x = -2 (double root)

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Problem

x2+4x+4=0x^2 + 4x + 4 = 0

Step-by-step solution

  1. Nhận dạng dạng (a+b)2=a2+2ab+b2(a + b)^2 = a^2 + 2ab + b^2 với a=xa = x, b=2b = 2.

  2. Phân tích: (x+2)2=0(x + 2)^2 = 0.

  3. Giải: x=2x = -2 — nghiệm kép.

Answer

x=2(double root)x = -2 \quad \text{(double root)}

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