Recent content by Dacu

Why zero , in France , can be a negative or positive number? My reasoning: 1) 0>0 involves 0=0+a where a>0 and involves 0+a>0+a and a>a and this is false. 2) 0<0 involves 0=0-a where a>0 and involves 0-a<0-a and -a<-a and this is false. So the number zero can not be negative or positive.What was...

Good morning, How do we prove that the number zero is a negative or positive number?

My reasoning: From the original equation we get (n+2)^2+4np_n+4(n+1)p_{n+1}=m^2 where m\in \mathbb N^*. Is there such a natural number m?

Solve the equation np_n+(n+1)p_{n+1}+(n+2)p_{n+2}=p^2_{n+2} where n\in \mathbb N^* and p_n , p_{n+1} , p_{n+2} are three consecutive prime numbers. ------------------------------------- A solution is n=2,p_2=3,p_3=5,p_4=7. May be other solutions?

Reason: Applications on "The fundamental theorem of algebra".

Hello, Inequality solutions are given by formula: x=i(-1\mp \sqrt{4-a}) where a\in \mathbb R ^-

Any inequality can be transformed into equality and so we can write x^2+2ix+3=a where i^2=-1 and a\in \mathbb R^-.Solving the equation is very simple ...

Hello, Solve inequality x^2+2ix+3<0 where i^2=-1