Answer:
√33
x = -5/2 ± ---------
2
Step-by-step explanation:
Through completing the square, we get:
x^2 + 5x + (5/2)^2 - (5/2)^2 - 2 = 0, or
(x + 5/2)^2 - 25/4 - 2 = 0.
This simplifies to
(x + 5/2)^2 = 33/4
Taking the square root of both sides yields:
x + 5/2 = ±√(33/4), which can be solved explicityl for x:
√33
x = -5/2 ± ---------
2
Answer:
<h2>m = 3</h2>
Step-by-step explanation:
8m + 8 = 32
<em>Subtract 8</em>
8m = 24
<em>Divide by 8</em>
m = 3
We'll use the variable x to represent last year's price. First, we have to set up an equation:

We get this equation because $13.25 is 6% MORE than last year's price, meaning we need to add the original price to the increase. Next, we combine like terms and solve for x:

Last year's price was
$12.50.
Hope this helps!
Answer:
-6 + 12x
Explanation:
Good luck. Have a great day.