WikiPublisher | Main / Wiki Sandbox Test

$f(x)=\int_{-\infty}^xe^{-t^2}dt$

Studera den allm�nna tredjegradsekvationen

$\displaystyle x^3+ax^2+bx+c=0$ .

(a) G�r substitutionen $\small x=t+k$ , och v�lj konstant $\small k$ s� att koefficienten f�r $\small x^2$ termen blir noll, dvs skriv ekvationen p� formen

$\displaystyle t^3+pt+q=0$ .

(b) Bevisa att

$t=\sqrt[3]{\sqrt{\frac{q^2}{4}+\frac{p^3}{27}}-\frac q2}-\sqrt[3]{\sqrt{\frac{q^2}{4}+\frac{p^3}{27}}+\frac q2}$

�r en l�sning till tredjegradsekvationen

$t^3+pt+q=0$ .

Retrieved from http://www.wikipublisher.org/wiki/Main/WikiSandboxTest

Page last modified on 11 June 2007 at 10:10 PM

Main: Wiki Sandbox Test