Question

Which of the following equations has the solution set x={−95,3}
𝑥
=
{
−
9
5
,
3
}
?(1 point)
Responses

(x+3)(9x−5)=0
(
𝑥
+
3
)
(
9
𝑥
−
5
)
=
0
left parenthesis x plus 3 right parenthesis left parenthesis 9 x minus 5 right parenthesis equals 0

(x−3)(5x+9)=0
(
𝑥
−
3
)
(
5
𝑥
+
9
)
=
0
left parenthesis x minus 3 right parenthesis left parenthesis 5 x plus 9 right parenthesis equals 0

−3x(5x+9)=0
−
3
𝑥
(
5
𝑥
+
9
)
=
0
negative 3 x left parenthesis 5 x plus 9 right parenthesis equals 0

(x−3)(9x+5)=0

Answer 1

you have to choose one

Answer 2

To determine which of the provided equations has the solution set \( x = \{-95, 3\} \), we can analyze each equation one by one:

1. **For** \( (x + 3)(9x - 5) = 0 \):
- Set \( x + 3 = 0 \) gives \( x = -3 \).
- Set \( 9x - 5 = 0 \) gives \( 9x = 5 \Rightarrow x = \frac{5}{9} \).
- **Solutions:** \( x = -3, \frac{5}{9} \) (Not our set).

2. **For** \( (x - 3)(5x + 9) = 0 \):
- Set \( x - 3 = 0 \) gives \( x = 3 \).
- Set \( 5x + 9 = 0 \) gives \( 5x = -9 \Rightarrow x = -\frac{9}{5} \).
- **Solutions:** \( x = 3, -\frac{9}{5} \) (Not our set).

3. **For** \( -3x(5x + 9) = 0 \):
- Set \( -3x = 0 \) gives \( x = 0 \).
- Set \( 5x + 9 = 0 \) gives \( 5x = -9 \Rightarrow x = -\frac{9}{5} \).
- **Solutions:** \( x = 0, -\frac{9}{5} \) (Not our set).

4. **For** \( (x - 3)(9x + 5) = 0 \):
- Set \( x - 3 = 0 \) gives \( x = 3 \).
- Set \( 9x + 5 = 0 \) gives \( 9x = -5 \Rightarrow x = -\frac{5}{9} \).
- **Solutions:** \( x = 3, -\frac{5}{9} \) (Not our set).

Since none of the provided options yield the solutions \( -95 \) or \( 3 \), there must be an error in provided equations. For the correct solution set, the equation should give \( x = -95 \) and \( x = 3 \).

The factorization that provides these roots should look like:
\[
(x - 3)(x + 95) = 0
\]
Hence, if this option was present, it would be the correct one.

**Final Answer**: None of the provided equations have the solution set \( x = \{-95, 3\} \).

Answer 3

Based on your request and considering that we need to choose one of the provided options, the closest equation that correctly provides one of the desired roots, \(3\), would be:

**(x - 3)(5x + 9) = 0**

This equation yields a solution of \(x = 3\), but does not yield \(-95\). However, since it's the only option that includes \(3\), I would select this one:

**Answer: (x - 3)(5x + 9) = 0**