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

Step 1: Understanding the Absolute Value Equation

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

Step 2: Solving the Absolute Value Equation

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

  • x=9 x = 9
  • x=9 x = -9

Final Answer

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

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