Answer:
[tex]D=0[/tex]
The quadratic equation has one real root with a multiplicity of 2.
Step-by-step explanation:
Given a quadratic equation:
[tex]ax^2+bx+c=0[/tex]
You can find the Discriminant with this formula:
[tex]D=b^2-4ac[/tex]
In this case you have the following quadratic equation:
[tex]4x^2+12x+9=0[/tex]
Where:
[tex]a=4\\b=12\\c=9[/tex]
Therefore, when you substitute these values into the formula, you get that the discriminant is this:
[tex]D=(12)^2-4(4)(9)\\\\D=0[/tex]
Since [tex]D=0[/tex], the quadratic equation has one real root with a multiplicity of 2 .
