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smallblueberry
29.01.2021 •
Mathematics
A store pays $ 95 for the hammock. The store marks the price at 10%. What is the quantity of the mark?
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Ответ:
Sum = 4 + 5 = 9
Step-by-step explanation:
Equation
2*(x - 2)(x-2) = (x - 3)(x + 4)
Solution
2*(x^2 - 4x + 4) = x^2 + 4x - 3x - 12
2x^2 - 8x + 8 = x^2 +x - 12 Subtract the right side from the left
x^2 - 9x + 20 = 0
(x - 4)(x - 5) = 0
The possible values for x are
x - 4 = 0
x = 4
x - 5 = 0
x = 5
Check
(4 - 2)^2 = (4) = 4
(x - 3)(x + 4) = (4 - 3)(8) = 8
This checks
(5 - 2)^2 = 3^2 = 9
(5 - 3)(5 + 4) = 2 * 9 = 18