Mathe frage

[Karl]

Hi!

Hier ist dein Fehler:
»» [latex]5x + 1 = 12x^{2} - 24x - 20x + 40[/latex]
»»
»» [latex]5x + 1 = 12x^{2} - 48x + 40[/latex]

[latex]-24x - 20x[/latex] ergibt [latex]-44x[/latex] und nicht [latex]-48x[/latex]

mit der Korrektur stimmt meine Gleichung immer noch nicht.

[latex]\frac{\sqrt{5x + 1}}{\sqrt{3x - 5}} = 2\sqrt{x - 2}[/latex]

[latex]\frac{5x + 1}{3x - 5} = 4(x - 2)[/latex]

[latex]\frac{5x + 1}{3x - 5} = 4x - 8[/latex]

[latex]5x + 1 = (4x - 8)(3x - 5)[/latex]

[latex]5x + 1 = 12x^{2} - 24x - 20x + 40[/latex]

[latex]5x + 1 = 12x^{2} - 44x + 40[/latex]

[latex]0 = 12x^{2} - 49x + 39[/latex]

[latex]0 = x^{2} - \frac{49}{12}x + \frac{39}{12}[/latex]

[latex]
x_{1,2} = - \frac{p}{2}\pm\sqrt{ \left(\frac{p}{2}\right)^2 - q }
[/latex]

[latex]
x_{1,2} = \frac{49}{24}\pm\sqrt{ \left(\frac{49}{24}\right)^2 - \frac{39}{12} }
[/latex]

[latex]
x_{1,2} = \frac{49}{24}\pm\sqrt{\frac{2401}{576} - \frac{39}{12} }
[/latex]

[latex]
x_{1,2} = \frac{49}{24}\pm\sqrt{\frac{2401}{576} - \frac{1872}{576} }
[/latex]

[latex]
x_{1,2} = \frac{49}{24}\pm\sqrt{\frac{529}{576} }
[/latex]

[latex]
x_{1,2} = \frac{1176}{576}\pm\frac{\sqrt{529}}{576}
[/latex]

[latex]
x_{1} = \frac{1199}{576}
[/latex]
[latex]
x_{2} = \frac{1153}{576}
[/latex]