Which equation matches the solution set of {5}{5}?(1 point)

Question

Responses

x2−10=15x2−10=15

x squared minus 10 equals 15

2x−20=30 2x−20=30 

2 x minus 20 equals 30

x+x−9=1+x x+x−9=1+x 

x plus x minus 9 equals 1 plus x

3x5+4=7

Answer 1

To find the equation that matches the solution set of {5}, we need to evaluate each given equation for the possibility of having only the solution \(x = 5\).

1. Equation: \(x^2 - 10 = 15\)
   Rearranging gives:
   \(x^2 = 25\)
   \(x = 5\) or \(x = -5\)
   Solution set: {5, -5} (does not match)

2. Equation: \(2x - 20 = 30\)
   Rearranging gives:
   \(2x = 50\)
   \(x = 25\)
   Solution set: {25} (does not match)

3. Equation: \(x + x - 9 = 1 + x\)
   Simplifying gives:
   \(2x - 9 = 1 + x\)
   \(2x - x = 10\)
   \(x = 10\)
   Solution set: {10} (does not match)

4. Equation: \(3x + 4 = 7\)
   Rearranging gives:
   \(3x = 3\)
   \(x = 1\)
   Solution set: {1} (does not match)

None of the provided equations have a solution set that matches {5}. Therefore, please verify if all options were listed, or if there might be a mistake somewhere in the problem setup.