Questions: Solve x=9 x=

Solve x=9 x=
Transcript text: Cosumnes River College | Cosumnes River College My Apps Assignment 3.6: Absolute Value Functions Score: $1.25 / 13$ Answered: $3 / 13$ Question 4 Solve $|x|=9$ $x=$ $\square$ To give multiple answers, list your answers separated by a comma Question Help: Video Submit Question
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Solution

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Solution Steps

To solve the equation \( |x| = 9 \), we need to find the values of \( x \) that satisfy this condition. The absolute value equation \( |x| = a \) has two solutions: \( x = a \) and \( x = -a \). Therefore, for \( |x| = 9 \), the solutions are \( x = 9 \) and \( x = -9 \).

Step 1: Understanding the Absolute Value Equation

The equation given is \( |x| = 9 \). The absolute value of a number \( x \) is the distance of \( x \) from zero on the number line, which means it is always non-negative. Therefore, the equation \( |x| = 9 \) implies that the distance of \( x \) from zero is 9.

Step 2: Solving the Absolute Value Equation

The equation \( |x| = a \) has two possible solutions: \( x = a \) and \( x = -a \). Applying this to our equation \( |x| = 9 \), we have:

  • \( x = 9 \)
  • \( x = -9 \)

Final Answer

\(\boxed{x = 9, -9}\)

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