Question

Which equation is equivalent to the given equation?
minus, x, squared, minus, 11, x, equals, 24
−x
2
−11x=24
Answer
x, squared, plus, 11, x, plus, 24, equals, 0
x
2
+11x+24=0
x, squared, minus, 11, x, minus, 24, equals, 0
x
2
−11x−24=0
x, squared, minus, 11, x, plus, 24, equals, 0
x
2
−11x+24=0
x, squared, plus, 11, x, minus, 24, equals, 0
x
2
+11x−24=0

Answer 1

To solve the equation \(-x^2 - 11x = 24\), we want to rearrange it into the standard quadratic form \(ax^2 + bx + c = 0\).

Here are the steps to rearrange the equation:

1. Start with the original equation:
\[
-x^2 - 11x = 24
\]

2. Move 24 to the left side by subtracting 24 from both sides:
\[
-x^2 - 11x - 24 = 0
\]

3. To get rid of the negative sign in front of \(x^2\), multiply the entire equation by -1:
\[
x^2 + 11x + 24 = 0
\]

Now we have the equation in the standard form.

The answer is:
\[
x^2 + 11x + 24 = 0
\]