The form (x - p)^2 = q is the form that completing the square will leave us with.
---Add 5 to both sides
x^2 - 8x = 5
---Divide the b term by 2, and square it. Then, add that number to both sides.
-8/2 = -4
(-4)^2 = 16
x^2 - 8x + 16 = 5 + 16
x^2 - 8x + 16 = 21
---Factor!
(x - 4)^2 = 21
p = 4
q = 21
Hope this helps!! :)
Answer:
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Step-by-step explanation:
You bought a magazine for $5 and four erasers. you spent a total of $25.
Magazine cost: 5$ each
Eraser cost: X$ each
Total cost is the number of items (1 magazine) times the cost of each item (5$). We don't know the cost of each eraser, so we represent that using a variable, X.
1(5) + 4(X) = 25
5 + 4X = 25
subtract 5 from both sides
4X = 25 - 5
4X = 20
divide both sides by 4
X = 20/4
X = 5
Each eraser cost 5$
