2x^2 + x + 3=0 has only complex roots.
The determinant is 1-4*2*3 = -23
-23 (or any determinant) is the part under the square root sign, If that determinant is negative, knowing you cannot take the square root of a negative number, we know the answers must be complex.
Answer:
5 liters of petroleum
Step-by-step explanation:
225/45=5
Answer: f(-3) = -27 & f(3) = 27
Step-by-step explanation:
(-3)^3
-27
(3)^3
27
11n+12- combined like terms
Answer:
A.-![2x^2](https://tex.z-dn.net/?f=2x%5E2)
D.![5x^2](https://tex.z-dn.net/?f=5x%5E2)
E.![x^2](https://tex.z-dn.net/?f=x%5E2)
Step-by-step explanation:
Like terms must have the same variable, in this case x, and the same exponent, in this case 2. Since the original term is
, the like terms will be those that contain
, regardless of whether their coefficient or sign is different.
Analyzing the options:
A.-![2x^2](https://tex.z-dn.net/?f=2x%5E2)
We have the same variable and the same exponent
, so it is a like term.
B. ![3x](https://tex.z-dn.net/?f=3x)
You have the same variable x but not the same exponent. So it's not a like term of ![3x^2](https://tex.z-dn.net/?f=3x%5E2)
C.![3x^3](https://tex.z-dn.net/?f=3x%5E3)
Same variable
but as in the previous case, the exponent is different, it is a 3 and it should be a 2, so it is not a similar or like term.
D.![5x^2](https://tex.z-dn.net/?f=5x%5E2)
In this option we do have the
, so it is a like term of ![3x^2](https://tex.z-dn.net/?f=3x%5E2)
E.![x^2](https://tex.z-dn.net/?f=x%5E2)
It is also a like term because it contains the
.
In summary the like terms are:
A.-![2x^2](https://tex.z-dn.net/?f=2x%5E2)
D.![5x^2](https://tex.z-dn.net/?f=5x%5E2)
E.![x^2](https://tex.z-dn.net/?f=x%5E2)