Question

12 − x9 = 11 true or false,

x = -9

Answer 1

To determine if the statement \( 12 - x^9 = 11 \) is true when \( x = -9 \), we can substitute \( x = -9 \) into the equation:

1. Substitute \( x = -9 \) into the equation:

\[
12 - (-9)^9 = 11
\]

2. Calculate \( (-9)^9 \):

Since \(-9\) raised to an odd exponent is negative, we have:

\[
(-9)^9 = -387420489
\]

3. Substitute that value back into the equation:

\[
12 - (-387420489) = 11
\]

This simplifies to:

\[
12 + 387420489 = 11
\]

Which simplifies to:

\[
387420501 = 11
\]

Since \( 387420501 \neq 11 \), the statement is **false**.

Answer 2

So what is the correct answer

Answer 3

To find the correct value of \( x \) for the equation \( 12 - x^9 = 11 \), let's solve it step by step:

1. Start with the original equation:
\[
12 - x^9 = 11
\]

2. Subtract 12 from both sides to isolate \( -x^9 \):
\[
-x^9 = 11 - 12
\]
\[
-x^9 = -1
\]

3. Multiply both sides by -1:
\[
x^9 = 1
\]

4. To solve for \( x \), take the ninth root of both sides. The ninth root of 1 can be:
\[
x = 1
\]
or any complex roots of unity, but for real-valued solutions, the principal root is:
\[
x = 1
\]

Thus, the correct answer is:
\[
x = 1
\]