Question

Solve the factored quadratic equation (13x+3)(9x−14)=0


The solution set is x={−313,159}
.
The solution set is x equals left brace negative Start Fraction 3 over 13 End Fraction comma 1 Start Fraction 5 over 9 End Fraction right brace .

The solution set is x={−133,914}
.
The solution set is x equals left brace negative Start Fraction 13 over 3 End Fraction comma Start Fraction 9 over 14 End Fraction right brace .

The solution set is x={−3,14}
.
The solution set is x equals left brace negative 3 comma 14 right brace .

The solution set is x={−313,914}
.

Answer 1

um try again?

Answer 2

To solve the factored quadratic equation \((13x + 3)(9x - 14) = 0\), we can set each factor equal to zero and solve for \(x\).

1. Set the first factor to zero:
\[
13x + 3 = 0
\]
Subtract 3 from both sides:
\[
13x = -3
\]
Divide by 13:
\[
x = -\frac{3}{13}
\]

2. Set the second factor to zero:
\[
9x - 14 = 0
\]
Add 14 to both sides:
\[
9x = 14
\]
Divide by 9:
\[
x = \frac{14}{9}
\]

Combining both solutions, the solution set is:
\[
x = \left\{ -\frac{3}{13}, \frac{14}{9} \right\}
\]

Therefore, the correct response is:
**The solution set is \( x = \left\{ -\frac{3}{13}, \frac{14}{9} \right\} \).**

Answer 3

Let's go through the solution to the equation \((13x + 3)(9x - 14) = 0\) step by step again.

1. Set each factor equal to zero:

**For the first factor:**
\[
13x + 3 = 0
\]
Subtract \(3\) from both sides:
\[
13x = -3
\]
Divide by \(13\):
\[
x = -\frac{3}{13}
\]

**For the second factor:**
\[
9x - 14 = 0
\]
Add \(14\) to both sides:
\[
9x = 14
\]
Divide by \(9\):
\[
x = \frac{14}{9}
\]

So the solutions are:
\[
x = -\frac{3}{13} \quad \text{and} \quad x = \frac{14}{9}
\]

Now combining both solutions, we get the solution set:
\[
x = \left\{ -\frac{3}{13}, \frac{14}{9} \right\}
\]

Please let me know if there were any specifics regarding the solutions or formatting you would like to address!