Solution of a depressed cubic equation

[PainterGuy]

Hi,

I was trying to solve the equation x³-2x-5=0. I solved it online and the real solution is x≈2.0946.

The following is an excerpt from the Wikipedia article on cubic equation.

The cubic equation, x³-2x-5=0, is a depressed cubic and in this case 4p³+27q²>0. But the real root of equation comes out to be different, please see below.

The correct real solution is x≈2.0946 therefore the value x=2.4142 is not correct. Where am I going? Could you please help me?

[Moderator's note: Moved from a technical forum and thus no template.]

 

[willem2]

I think you swapped p and q.

 

[PainterGuy]

Thank you.

That was really silly!

 

[archaic]

I'd say Prozac.

 

[etotheipi]

I'd say Prozac.

It just needs a hug

I think it's because all the other equations are calling him odd