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Beliebt Algebra >

G(x)=sqrt(x^2-16)

Lösung

G (x) = x^{2} - 16

Lösung

x = - \frac{16}{G ^{2} - 1} {0 \leq G < 1}, x = - - \frac{16}{G ^{2} - 1} {- 1 < G \leq 0}

Schritte zur Lösung

G (x) = x^{2} - 16

Quadriere beide Seiten:

G^{2} x^{2} = x^{2} - 16

G^{2} x^{2} = x^{2} - 16

Löse

G^{2} x^{2} = x^{2} - 16 : x = - \frac{16}{G ^{2} - 1}, x = - - \frac{16}{G ^{2} - 1}

x = - \frac{16}{G ^{2} - 1}, x = - - \frac{16}{G ^{2} - 1}

Überprüfe die Lösungen:

x = - \frac{16}{G ^{2} - 1} {0 \leq G < 1}, x = - - \frac{16}{G ^{2} - 1} {- 1 < G \leq 0}

Die Lösungen sind

x = - \frac{16}{G ^{2} - 1} {0 \leq G < 1}, x = - - \frac{16}{G ^{2} - 1} {- 1 < G \leq 0}

Graph

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