Solve with Quadratics
1 answer:
Answer:
x = 1 ±
Step-by-step explanation:
Given
2x² - 4x = 10 ( divide through by 2 )
x² - 2x = 5
Using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 1)x + 1 = 5 + 1
(x - 1)² = 6 ( take the square root of both sides )
x - 1 = ± ( add 1 to both sides )
x = 1 ± ← exact solutions
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Step-by-step explanation:
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Answer:
x= -3
Step-by-step explanation:
7+ = 5
21+2x=15
2x=-6
x= -3
Answer:
Cost of 18 pounds candy = $22.5
Cost of 10 pounds candy = $12.5
Cost of 1 pound of candies = $1.25
Step-by-step explanation:
6 pounds of butterscotch candies cost $7.50
⇔ 1 pound of same candy costs $1.25
Now, we need to find the cost of 18 pounds of candy:
as, the cost of 6 pounds candy = $7.50
⇔ Cost of 6 x 3 = 18 pounds candy = $7.50 x 3 = $22.5
Cost of 10 pounds candy = 10 x (Cost of 1 pound candy)
= 10 x ($1.25) = $12.5
The unit rate for butterscotch candies = Cost of 1 pound of candies
= $1.25