x^4-1=sqrt(25x^2)

Lösung

x^{4} - 1 = 25 x^{2}

x = \frac{3.14009 E 15}{1.0 E 15}, x = - \frac{3.14009 E 15}{1.0 E 15}

Dezimale

x = 1.77202 \dots, x = - 1.77202 \dots

Schritte zur Lösung

x^{4} - 1 = 25 x^{2}

Quadriere beide Seiten:

x^{8} - 2 x^{4} + 1 = 25 x^{2}

x^{8} - 2 x^{4} + 1 = 25 x^{2}

Löse

x^{8} - 2 x^{4} + 1 = 25 x^{2} : x = \frac{4.98411 E 15}{1.25 E 17}, x = - \frac{4.98411 E 15}{1.25 E 17}, x = \frac{3.14009 E 15}{1.0 E 15}, x = - \frac{3.14009 E 15}{1.0 E 15}

x = \frac{4.98411 E 15}{1.25 E 17}, x = - \frac{4.98411 E 15}{1.25 E 17}, x = \frac{3.14009 E 15}{1.0 E 15}, x = - \frac{3.14009 E 15}{1.0 E 15}

Überprüfe die Lösungen:

x = \frac{4.98411 E 15}{1.25 E 17}

Falsch

, x = - \frac{4.98411 E 15}{1.25 E 17}

Falsch

, x = \frac{3.14009 E 15}{1.0 E 15}

Wahr

, x = - \frac{3.14009 E 15}{1.0 E 15}

Wahr

Die Lösungen sind

x = \frac{3.14009 E 15}{1.0 E 15}, x = - \frac{3.14009 E 15}{1.0 E 15}

x (6 - 2 x^{0.5}) + 2 = 0

1 = 1 b^{2.5}

x + x + x - 1 = 6

x - 4 = 5

2 x^{- 1} + x^{\frac{- 1}{2}} = 6