solvefor x,fx=sqrt(4x-2)

Lösung

löse nach

x, f x = 4 x - 2

x = \frac{4 + 16 - 8 f ^{2}}{2 f ^{2}} {0 < f < 2}, x = \frac{4 - 16 - 8 f ^{2}}{2 f ^{2}} {0 < f < 2}

Schritte zur Lösung

f x = 4 x - 2

Quadriere beide Seiten:

x^{2} f^{2} = 4 x - 2

x^{2} f^{2} = 4 x - 2

Löse

x^{2} f^{2} = 4 x - 2 : x = \frac{4 + 16 - 8 f ^{2}}{2 f ^{2}}, x = \frac{4 - 16 - 8 f ^{2}}{2 f ^{2}}

x = \frac{4 + 16 - 8 f ^{2}}{2 f ^{2}}, x = \frac{4 - 16 - 8 f ^{2}}{2 f ^{2}}

Überprüfe die Lösungen:

x = \frac{4 + 16 - 8 f ^{2}}{2 f ^{2}} {0 < f < 2}, x = \frac{4 - 16 - 8 f ^{2}}{2 f ^{2}} {0 < f < 2}

Die Lösungen sind

x = \frac{4 + 16 - 8 f ^{2}}{2 f ^{2}} {0 < f < 2}, x = \frac{4 - 16 - 8 f ^{2}}{2 f ^{2}} {0 < f < 2}

n (x) = - 4 - x

(4 x + 5)^{\frac{1}{2}} = x - 4

(x^{2} - 4)^{\frac{3}{2}} = 27

5 3 2 x + 11 = 15

20 x = 5 x