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Beliebt Algebra >

sqrt(x^2-4)-x^2+4=0

Lösung

x^{2} - 4 - x^{2} + 4 = 0

Lösung

x = 5, x = - 5, x = 2, x = - 2

+1

Dezimale

x = 2.23606 \dots, x = - 2.23606 \dots, x = 2, x = - 2

Schritte zur Lösung

x^{2} - 4 - x^{2} + 4 = 0

Quadratwurzeln entfernen

x^{2} - 4 = x^{4} - 8 x^{2} + 16

Löse

x^{2} - 4 = x^{4} - 8 x^{2} + 16 : x = 5, x = - 5, x = 2, x = - 2

x = 5, x = - 5, x = 2, x = - 2

Überprüfe die Lösungen:

x = 5

Wahr

, x = - 5

Wahr

, x = 2

Wahr

, x = - 2

Wahr

Die Lösungen sind

x = 5, x = - 5, x = 2, x = - 2

Graph

Beliebte Beispiele

3 - x = 1

sqrt((2x+1)^2)= 1/2

(2 x + 1)^{2} = \frac{1}{2}

2 m + 1 = m + 1

sqrt(x^4+x^2+1)=x^2-3x+1

x^{4} + x^{2} + 1 = x^{2} - 3 x + 1

sqrt(x)+sqrt(40+x)=10

x + 40 + x = 10