To solve the inequality 
The numerator 
is not factorizable.
so factor the denominator 
:
Now take 
Then we get factor of the denominator as 
Thus 
Now 
Signs of 
is the required solution of the given inequality.
Answer:
2 real solutions
Step-by-step explanation:
To determine the nature of the solutions use the discriminant
Δ = b² - 4ac
• If b² - 4ac > 0 then 2 real solutions
• If b² - 4ac = 0 the 2 real and equal solutions
• If b² - 4ac < 0 then no real solutions
Given
x² + 9x + 20 = 0 ← in standard form
with a = 1, b = 9, c = 20, then
b² - 4ac
= 9² - (4 × 1 × 20 ) = 81 - 80 = 1
Since b² - 4ac > 0 then there are 2 real solutions
I'm not going to give you the answer, but I can try to help you. A common denominator, I think, is like when you try to find out the number they all multiply. Like, for example, 9. 1, 3, 9, etc. are numbers you can use to either multiply up to 9, or more than 9. I don't know if I even make sense. Just do a good amount of research.
3 1/2
2 1/4+ 1 1/4 = 3 2/4
or 3 1/2
