Question

Solve the factored quadratic equation
(13x-2)(x-34)=0

Answer 1

shorter please

Answer 2

To solve the factored quadratic equation \((13x - 2)(x - 34) = 0\), we can set each factor equal to zero and solve for \(x\).

1. **Set the first factor equal to zero:**
\[
13x - 2 = 0
\]
Adding 2 to both sides:
\[
13x = 2
\]
Now, divide by 13:
\[
x = \frac{2}{13}
\]

2. **Set the second factor equal to zero:**
\[
x - 34 = 0
\]
Adding 34 to both sides:
\[
x = 34
\]

The solutions to the equation \((13x - 2)(x - 34) = 0\) are:
\[
x = \frac{2}{13} \quad \text{and} \quad x = 34
\]

Answer 3

To solve \((13x - 2)(x - 34) = 0\):

1. Set each factor to zero:
- \(13x - 2 = 0 \Rightarrow x = \frac{2}{13}\)
- \(x - 34 = 0 \Rightarrow x = 34\)

**Solutions:** \(x = \frac{2}{13}\) and \(x = 34\).