Question

Which equation is equivalent to the given equation?
minus, 2, x, squared, minus, 22, x, equals, 60
−2x
2
−22x=60
Answer
2, x, squared, plus, 22, x, plus, 60, equals, 0
2x
2
+22x+60=0
2, x, squared, minus, 22, x, plus, 60, equals, 0
2x
2
−22x+60=0
2, x, squared, plus, 22, x, minus, 60, equals, 0
2x
2
+22x−60=0
2, x, squared, minus, 22, x, minus, 60, equals, 0
2x
2
−22x−60=0

Answer 1

To find the equivalent equation to the given equation \( -2x^2 - 22x = 60 \), we start by rearranging it into standard quadratic form \( ax^2 + bx + c = 0 \).

1. First, add \( 60 \) to both sides to set the equation to zero:
\[
-2x^2 - 22x - 60 = 0
\]

2. To make the equation look more standard, we can multiply the entire equation by \(-1\) to eliminate the negative signs on the left side:
\[
2x^2 + 22x + 60 = 0
\]

Now, we compare this result with the answer options provided:

- **Option 1:** \( 2x^2 + 22x + 60 = 0 \)
- **Option 2:** \( 2x^2 - 22x + 60 = 0 \)
- **Option 3:** \( 2x^2 + 22x - 60 = 0 \)
- **Option 4:** \( 2x^2 - 22x - 60 = 0 \)

The correct equivalent equation is:

**Answer: \( 2x^2 + 22x + 60 = 0 \)**.