algebra · worked example

Solve x² - 25 = 0

Method: Differenz von Quadraten. Verified step-by-step solution with our free AI math solver.

Problem

$x^2 - 25 = 0$

Step-by-step solution

Erkenne als Differenz von Quadraten mit $a = x$ , $b = 5$ .
Wende $a^2 - b^2 = (a-b)(a+b)$ an: $(x - 5)(x + 5) = 0$ .
Setze jeden Faktor gleich null: $x = 5$ oder $x = -5$ .

Answer

$x = 5 \quad \text{or} \quad x = -5$

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