algebra · worked example

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

Method: vollständiges Quadrat (Trinom). Verified step-by-step solution with our free AI math solver.

Problem

$x^2 + 4x + 4 = 0$

Step-by-step solution

Erkenne als $(a + b)^2 = a^2 + 2ab + b^2$ mit $a = x$ , $b = 2$ .
Faktorisiere: $(x + 2)^2 = 0$ .
Löse: $x = -2$ — doppelte Nullstelle.

Answer

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

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