Question
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  1. Determine the value(s) of in the equation below:

Ask by Rowe Harrington. in the United States
Jan 23,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The solutions are and .

Solution

To solve the equation:
Step 1: Eliminate the Fractions
To eliminate the denominators, multiply both sides of the equation by (assuming ):
Step 2: Simplify Both Sides
Now the equation becomes:
Step 3: Solve for
To find , take the square root of both sides:
Step 4: Verify the Solutions
It’s good practice to substitute the solutions back into the original equation to ensure they are valid.
  1. For :
  1. For :
Conclusion
The solutions to the equation are:

Answered by UpStudy AI and reviewed by a Professional Tutor

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Simplify this solution

The Deep Dive

To solve the equation , you can start by cross-multiplying to eliminate the fractions. This gives you:
which simplifies to:
Now, by taking the square root of both sides, you find:
So the values of are and .

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