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Solve for .Write your answers as integers or as proper or improper fractions in simplest form. _____ or _____
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Q. Solve for .Write your answers as integers or as proper or improper fractions in simplest form. _____ or _____
- Understand absolute value equation: Understand the absolute value equation.The equation given is . The absolute value of any number is always non-negative. Therefore, if the absolute value of something is equal to , the only possibility is that the expression inside the absolute value is itself .
- Set inside equal to : Set the inside of the absolute value equal to .Since , we can conclude that must be equal to because that is the only value whose absolute value is .
- Solve for z: Solve for z.To find z, we divide both sides of the equation by .
- Check for second solution: Check for a second solution.Normally, with absolute value equations, we would check for a second solution by considering the negative of the inside expression. However, since is the only number that is equal to its own negative, there is no second solution in this case.
