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Beliebt Algebra >

-2(e^{-x^2}-2e^{-x^2}x^2)=0

Lösung

- 2 (e^{- x^{2}} - 2 e^{- x^{2}} x^{2}) = 0

Lösung

x = - \frac{1}{2}, x = \frac{1}{2}

+1

Dezimale

x = - 0.70710 \dots, x = 0.70710 \dots

Schritte zur Lösung

- 2 (e^{- x^{2}} - 2 e^{- x^{2}} x^{2}) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

e^{- x^{2}} - 2 e^{- x^{2}} x^{2} = 0

Löse

e^{- x^{2}} - 2 e^{- x^{2}} x^{2} = 0 : x = - \frac{1}{2}, x = \frac{1}{2}

x = - \frac{1}{2}, x = \frac{1}{2}

Graph

Beliebte Beispiele

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4 9^{x} \cdot 7^{x^{2}} = 240 1^{2}

2500=5000e^{100x}

2500 = 5000 e^{100 x}

3^{2 x} = 2