Question

Which equation is equivalent to the given equation?
minus, 2, x, squared, minus, 56, equals, 22, x
−2x
2
−56=22x
Answer
2, x, squared, plus, 22, x, plus, 56, equals, 0
2x
2
+22x+56=0
2, x, squared, minus, 22, x, plus, 56, equals, 0
2x
2
−22x+56=0
2, x, squared, plus, 22, x, minus, 56, equals, 0
2x
2
+22x−56=0
2, x, squared, minus, 22, x, minus, 56, equals, 0
2x
2
−22x−56=0

Answer 1

To find an equation equivalent to \(-2x^2 - 56 = 22x\), we can rearrange it by moving all terms to one side of the equation.

1. Start with \(-2x^2 - 56 = 22x\).
2. Add \(2x^2\) and \(56\) to both sides to get:
\[
0 = 2x^2 + 22x + 56
\]
3. Rearranging gives us:
\[
2x^2 + 22x + 56 = 0
\]

This can be simplified, but the equivalent equation remains as is.

Thus, the equivalent equation is:
\[
2x^2 + 22x + 56 = 0
\]

So the correct answer is:
**\(2x^2 + 22x + 56 = 0\)**.