Equations générales A × B = 0 ⇔ A = 0 ou B = 0
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Lesson overview
This lesson brings together the PDF, study notes and chapter flow so you can revise Divers without losing the thread.
Equations générales A × B = 0 ⇔ A = 0 ou B = 0
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Exemple 1. Soit x ∈ R. x2 = x ⇔ x2 − x = 0 ⇔ x(x − 1) = 0 ⇔ x = 0 ou x = 1.
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Exemple 2. Soit x ∈ R. e2x = ex ⇔ ex(ex − 1) = 0 ⇔ ex = 0 ou ex = 1 ⇔ ex = 1 ⇔ x = 0.
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0 ou cos(x) = 1
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Exemple 4. Soit z ∈ C. z2 = 3iz ⇔ z(z − 3i) = 0 ⇔ z = 0 ou z = 3i.
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B = 0 ⇔ A = 0 et B 6 = 0 A
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B = 1 ⇔ A = B et B 6 = 0
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Exemple 1. Soit x ∈ R. x2 − 3x + 2
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Document vocabulary
exemple · réels · existe · equations · solution · positif · équation · strictement
Lesson objective
Master "Summary 1 - Divers" in Divers (Mathematics) and use it in exercises.
Quick method
Start with definitions, learn formulas/processes, redo one example, then solve one exercise without the correction.