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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. تعرّف عليها كـ (a+b)2=a2+2ab+b2(a + b)^2 = a^2 + 2ab + b^2 حيث a=xa = x، b=2b = 2.

  2. حلّل: (x+2)2=0(x + 2)^2 = 0.

  3. حُل: x=−2x = -2 — جذر مكرر.

Answer

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

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