solvefor x,fx=sqrt(x^2-25)

Lösung

löse nach

x, f x = x^{2} - 25

x = - \frac{25}{f ^{2} - 1} {0 \leq f < 1}, x = - - \frac{25}{f ^{2} - 1} {- 1 < f \leq 0}

Schritte zur Lösung

f x = x^{2} - 25

Quadriere beide Seiten:

x^{2} f^{2} = x^{2} - 25

x^{2} f^{2} = x^{2} - 25

Löse

x^{2} f^{2} = x^{2} - 25 : x = - \frac{25}{f ^{2} - 1}, x = - - \frac{25}{f ^{2} - 1}

x = - \frac{25}{f ^{2} - 1}, x = - - \frac{25}{f ^{2} - 1}

Überprüfe die Lösungen:

x = - \frac{25}{f ^{2} - 1} {0 \leq f < 1}, x = - - \frac{25}{f ^{2} - 1} {- 1 < f \leq 0}

Die Lösungen sind

x = - \frac{25}{f ^{2} - 1} {0 \leq f < 1}, x = - - \frac{25}{f ^{2} - 1} {- 1 < f \leq 0}

5 p - 3 = 45

2 y + \frac{4}{y} = 5

x + 12 + 8 - x = 6

2 3 x + 2 = - 4

5 = (- 1 - x)^{2} + (- 2 - 2)^{2}