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tankabanditka [31]
2 years ago
7

What are the solutions of the equation? 0=x^2-2x-24

Mathematics
1 answer:
Brrunno [24]2 years ago
4 0
The solutions are: x = 6; x = -4.

Explanation: The given equation is:
x^2 -2x -24 = 0

x^2 -6x + 4x - 24 = 0
x(x-6) + 4(x-6) = 0
(x-6)(x+4) = 0

=> x = 6
=> x = -4

Hence the solutions are: x = 6; x = -4.
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A druggist needs 25 liters of a solution that is 16% iodine. She has one solution that is 12 % iodine and another that is 37 %.
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Answer:

21 liters of the 12% solution and 4 liters of the 37% solution

Step-by-step explanation:

Represent the number of liters of the first solution as x and the second as y. Now, the total liters of iodine is going to be 16% of 25 = 4 liters of iodine, and the total liters of each solution is going to be 25. Now, we can setup two equations:

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Multiplying the bottom equation by 0.12, we have

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0.12x + 0.12y = 3

= 0.25y = 1

= y = 4

= x = 25 - 4 = 21

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