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A-3 = 10/a
(a) √7,7
(b) 5,-2
(c) -5,2
(d) -√7,7
Find out the answer?
Most Upvoted Answer
A-3 = 10/a(a) √7,7(b) 5,-2(c) -5,2(d) -√7,7 Find out the answer?
Understanding the Equation
The equation given is A - 3 = 10/a(a) √7. Our goal is to solve for A by finding the value that satisfies this equation.
Step 1: Rearranging the Equation
To isolate A, we can rearrange the equation:
- Add 3 to both sides:
- A = 10/a(a) √7 + 3
Step 2: Analyzing the Right Side
Next, we need to simplify or evaluate the right side:
- 10/a(a) √7 is a fraction involving 'a', which means we need to look at potential values for 'a' from the options given (7, 5, -2, -√7).
Step 3: Testing the Options
Now, let’s test each option to determine which one satisfies the equation.
- Option (a): a = 7
- Plugging in: A = 10/(7*7)√7 + 3
- Simplifies to a non-integer.
- Option (b): a = 5
- Plugging in: A = 10/(5*5)√7 + 3
- Similarly, does not yield a simple integer.
- Option (c): a = -2
- Plugging in: A = 10/(-2*-2)√7 + 3
- This also does not yield a valid integer.
- Option (d): a = -√7
- Plugging in: A = 10/(-√7*-√7)√7 + 3
- This simplifies to a valid integer.
Conclusion
From the analysis, it appears that the value of 'a' that satisfies the equation most appropriately is option (d) -√7. This gives A a defined value while adhering to the constraints of the equation.
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