x^{1/2}-2x+4=0

Lösung

x^{\frac{1}{2}} - 2 x + 4 = 0

x = \frac{17 + 3 3 ^{\frac{1}{2}}}{8}

Dezimale

x = 2.84307 \dots

Schritte zur Lösung

x^{\frac{1}{2}} - 2 x + 4 = 0

Quadratwurzeln entfernen

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

Löse

x = 4 x^{2} - 16 x + 16 : x = \frac{17 + 3 3 ^{\frac{1}{2}}}{8}, x = \frac{17 - 3 3 ^{\frac{1}{2}}}{8}

x = \frac{17 + 3 3 ^{\frac{1}{2}}}{8}, x = \frac{17 - 3 3 ^{\frac{1}{2}}}{8}

Überprüfe die Lösungen:

x = \frac{17 + 3 3 ^{\frac{1}{2}}}{8}

Wahr

, x = \frac{17 - 3 3 ^{\frac{1}{2}}}{8}

Falsch

Deshalb ist die Lösung

x = \frac{17 + 3 3 ^{\frac{1}{2}}}{8}

x^{2} = x

x + 3 = - 6

\frac{( x + 3 )}{( x - 2 )} = \frac{( 3 x - 5 )}{( 3 x - 13 )}

\frac{( 50 s ^{\frac{3}{2}} )}{( \frac{3}{2} ) - 58.86 s} = 1890

x + 3 x^{\frac{2}{3}} + 2 = 0