Answer:
b = -6.307 or -11.693
Step-by-step explanation:
[tex]b^{2} +9b +13\\[/tex]
This can't be factored so you need to use the quadratic formula which is
-b ± [tex]\frac{\sqrt{b^{2} -4ac}}{2a}[/tex]
Plugging the numbers from the equation in, it's
-(9) ± [tex]\frac{\sqrt{(9)^{2}-4(1)(13) } }{2(1)}[/tex]
This simplifies down to b = -6.307 or -11.693.
These are both real solutions.
