Answer:

Step-by-step explanation:
So the question here is asking you to use the quadratic formula which is expressed as: 
A quadratic can generally be expressed as: 
So using the equation you gave: 
We can identify the following values: a=1, b=-5, c=-1
Btw the equation explicitly write "1" as the coefficient of x, but since it's not provided it's implied that it's 1.
So plugging in the known values, we get the following equation:

The last step just consists of taking the + and - solution, and since it asks for exact solutions you leave the 29 under the radical, and you don't approximate. There is no further simplification that can be done here.
Answer:
This quadratic equation has 2 solutions.
Step-by-step explanation:
I assume the '?' in your question is meant to be power 2 (²), or else it would not be a quadratic equation. You could write it using the superscript version of 2.
We can solve this equation by expressing it in the form: ax² + bx + c
x² + 9x= -8
x² + 9x + 8 = 0
Now if you know the discriminant, you can simply plug in your values of a, b, and c to see how many solutions there are.
In this case, you would not need the discriminant as there are whole-number factors and hence this can simply be factorised.
x² + 9x + 8 = 0
(x + 8)(x + 1) = 0
For this equation to be true (= 0), x can equal -8 OR -1.
Hence, this quadratic equation has 2 solutions.
Answer
c= 6
In the picture is how the solution was done
He started out with 19.1 gallons because if you add 5.8 and 12.4 you get 19.1
Answer:
3^(n+1) - 3^n / 3^(n-1) = 6