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  1. Solve:

Ask by Newton Ruiz. in the United States
Dec 01,2024

Upstudy AI Solution

Tutor-Verified Answer

Answer

or .

Solution

Solve the equation .
Solve the equation by following steps:
  • step0: Solve for :
  • step1: Move the constant to the right side:
  • step2: Subtract the numbers:
  • step3: Separate into possible cases:
  • step4: Solve the equation:
  • step5: Rewrite:

    The solutions to the equation are and .

Answered by UpStudy AI and reviewed by a Professional Tutor

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Simplify this solution

The Deep Dive

To solve , first, subtract 2 from both sides to isolate the absolute value: .
Now, remember that the expression inside absolute value could result in two cases:
  1. which gives us
  2. which gives us
So, the solutions are and .
Now go out there and check these values back in the original equation to ensure they fit! How cool is it that simple numbers can take you on a quest where you discover both solutions?

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