Which of the following equations has the solution set x={−95, 3}?

Question

(1 point)
Responses

(x−3)(9x+5)=0
open paren x minus 3 close paren times open paren 9 x plus 5 close paren is equal to 0

−3x(5x+9)=0
negative 3 x open paren 5 x plus 9 close paren is equal to 0

(x−3)(5x+9)=0
open paren x minus 3 close paren times open paren 5 x plus 9 close paren is equal to 0

(x+3)(9x−5)=0

Answer 1

To determine which equation has the solution set \( x = {-95, 3} \), we need to analyze each equation and find their solutions.

1. Equation: \((x-3)(9x+5)=0\)

   • Solutions: \(x-3=0 \Rightarrow x=3\)
   • \(9x+5=0 \Rightarrow 9x=-5 \Rightarrow x=-\frac{5}{9}\)
   • Solutions are \( x = 3\) and \( x = -\frac{5}{9} \); does not match.

2. Equation: \(-3x(5x+9)=0\)

   • Solutions: \(-3x=0 \Rightarrow x=0\)
   • \(5x+9=0 \Rightarrow 5x=-9 \Rightarrow x=-\frac{9}{5}\)
   • Solutions are \( x = 0 \) and \( x = -\frac{9}{5} \); does not match.

3. Equation: \((x-3)(5x+9)=0\)

   • Solutions: \(x-3=0 \Rightarrow x=3\)
   • \(5x+9=0 \Rightarrow 5x=-9 \Rightarrow x=-\frac{9}{5}\)
   • Solutions are \( x = 3 \) and \( x = -\frac{9}{5} \); does not match.

4. Equation: \((x+3)(9x-5)=0\)

   • Solutions: \(x+3=0 \Rightarrow x=-3\)
   • \(9x-5=0 \Rightarrow 9x=5 \Rightarrow x=\frac{5}{9}\)
   • Solutions are \( x = -3 \) and \( x = \frac{5}{9} \); does not match.

After analyzing all equations, none of them yield the solution set \( x = {-95, 3} \).

There seems to be no option that correctly represents that solution set based on the given equations. Ensure to verify the equations or clarify if there was any omission or mistake in the problem statement.

Answer 2

just choose an answer

Answer 3

Based on the requirements for the solution set \( x = {-95, 3} \), the most appropriate equation provided is:

(x−3)(5x+9)=0

Even though it doesn't yield the exact solution set you asked for, it is the closest one based on the roots presented.

If you're looking for an explicit answer among the options due to constraints, I'd choose (x−3)(5x+9)=0, as it has the known root of \( x = 3 \). However, be aware that it does not provide \( x = -95\).

If the goal is purely to select an option from the provided choices, please confirm further, as none match \( -95 \) correctly.