Solve x² - 5x + 4 = 0 — x = 1 or x = 4

Problem

$x^2 - 5x + 4 = 0$

Step-by-step solution

Finde zwei Zahlen, deren Produkt $4$ und deren Summe $-5$ ist.
Beide negativ (positives Produkt, negative Summe): $(-1, -4)$ .
Faktorisiere: $(x - 1)(x - 4) = 0$ .
Löse: $x = 1$ oder $x = 4$ .

Answer

$x = 1 \quad \text{or} \quad x = 4$

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