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17 votes
17 votes
What is the value of x?
Options: 4, 3, 5, 2

What is the value of x? Options: 4, 3, 5, 2-example-1
User Peter Ruppert
by
2.8k points

2 Answers

9 votes
9 votes

Final answer:

By solving the equation (2x)² = 4.0(1 - x)², we get two potential solutions for x. One of the solutions, x = 2, corresponds to one of the provided selectable answers and falls within the given range for x (1.5 ≤ x ≤ 4.5).

Step-by-step explanation:

To find the value of x, we were provided several pieces of information that describe the properties and behaviors of x. For instance, we know that 1.5 ≤ x ≤ 4.5, meaning x can take any value in that range. We also have an equation that needs to be solved: (2x)² = 4.0(1 - x)². Upon taking the square root of both sides, we get two separate equations, 2x = 2(1 - x) and 2x = -2(1 - x), due to the property of squaring. Solving the former gives us x = 2/3, which does not match any of the options provided. However, solving the latter yields x = 2, which is in the list of possible answers.

User Marcel Hoekstra
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3.0k points
18 votes
18 votes

Answer: X = 3

Step-by-step explanation:

3x + 6 = 15

6x - 3 = 15

5 times 3 = 15

User Shradha
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3.2k points