Question
- 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.
- For
:
- For
:
Conclusion
The solutions to the equation
are:
Answered by UpStudy AI and reviewed by a Professional Tutor
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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
.