Question

Which equation is equivalent to the given equation?
minus, 8, x, equals, x, squared, minus, 9
−8x=x
2
−9
Answer
x, squared, plus, 8, x, minus, 9, equals, 0
x
2
+8x−9=0
x, squared, minus, 8, x, minus, 9, equals, 0
x
2
−8x−9=0
x, squared, plus, 8, x, plus, 9, equals, 0
x
2
+8x+9=0
x, squared, minus, 8, x, plus, 9, equals, 0
x
2
−8x+9=0

Answer 1

To find the equivalent equation to the given equation \(-8x = x^2 - 9\), we can rearrange the terms.

Start with the original equation:

\[
-8x = x^2 - 9
\]

Add \(8x\) to both sides to move all terms to one side:

\[
0 = x^2 + 8x - 9
\]

Now, if we rearrange this equation, we get:

\[
x^2 + 8x - 9 = 0
\]

So the correct answer is:

\[
x^2 + 8x - 9 = 0
\]