How many solutions for x^2+4x+4=0 (1 Viewer)

[enak101]

This in the quadratic equations chapter and I have found one solution, which was x=-2. The answers section says there is two solutions. I know there is a method to find the solutions but I forget now. Like, a way to find out number of solutions. This is the very first exercise of the chapter about min and max values as well as axis of symmetry.

 

[Sy123]

There is something called multiplicity, that is if a root is a solution TWO times it has a multiplicity of TWO, if a solution 'appears' 3 times, i.e.
There is a 'triple root' at x= alpha, it has a multiplicity of THREE. In 2U you don't need to know what this means, but basically there are still 2 solutions, -2 and -2. They are NOT distinct, and thats fine, there are still 2 solutions.

 

[RealiseNothing]

The degree of the polynomial = number of solutions (not necessarily real however).

 

[Carrotsticks]

The degree of the polynomial = number of solutions (not necessarily real however).

Almost.

The degree of the polynomial = the number of distinct roots it can have AT MOST.

 

[RealiseNothing]

Almost.

The degree of the polynomial = the number of distinct roots it can have AT MOST.

2U carrot.

 

[enak101]

Thanks, I see how you did that, some of the other stuff seems sort of complicated but thanks for the simple way to do it.