Answer:
[tex]-\frac{3}{2}[/tex]
Step-by-step explanation:
The equation is written in the form:
[tex]ax^2 +bx+c=0[/tex]
where a=4, b=12 and c=9.
The solutions of the equation above are found with the formula:
[tex]x_{1,2} = \frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
Substituting a,b,c with the respective numbers, we find
[tex]x_{1,2} = \frac{-12\pm \sqrt{(12)^2-4(4)(9)}}{2(4)}=\frac{-12\pm 0}{8}=-\frac{3}{2}[/tex]
