algebra · worked example

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

Method: 完全平方三項式. Verified step-by-step solution with our free AI math solver.
Problem

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

Step-by-step solution

  1. 辨認為 (a+b)2=a2+2ab+b2(a + b)^2 = a^2 + 2ab + b^2,其中 a=xa = xb=2b = 2

  2. 分解:(x+2)2=0(x + 2)^2 = 0

  3. 求解:x=2x = -2 — 重根。

Answer

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

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