Solving for x in a Simplified Problem: (14-2x)/π = (196+4x)/(π2)

  • Thread starter redbull1990
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In summary, simplifying a problem involves breaking it down into smaller parts and eliminating unnecessary details to make it more manageable and easier to solve. This process helps to identify key components, find more efficient solutions, and avoid getting overwhelmed. However, it's important to strike a balance and avoid oversimplifying, as this can lead to incorrect or incomplete solutions.
  • #1
redbull1990
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-This is what I need to simplify.
π((14-2x)/π)2

-This is what I got.
(196+4x)/(π2)

-This is the solution.
(196-56x+4x2)/π

Really unsure of where that -56x is coming from in the solution.
 
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  • #2
redbull1990 said:
-This is what I need to simplify.
π((14-2x)/π)2

this part
((14-2x)/π)2

(a/b)n=an/bn

so ((14-2x)/π)2 = (14-20)22
 
  • #3
The problem is that π((14-2x)/π)2 = n[(14-2x)2/n2] and not n[(142 + (-2x)2)/n2] the way you solved it.

Edit: Got beat to it.
 

FAQ: Solving for x in a Simplified Problem: (14-2x)/π = (196+4x)/(π2)

What is the purpose of simplifying a problem?

Simplifying a problem helps to break it down into smaller, more manageable parts. This makes it easier to understand and solve, as well as reducing the complexity of the problem.

How do you go about simplifying a problem?

To simplify a problem, you first need to identify the key components of the problem and determine what information is relevant. Then, try to break the problem down into smaller steps or sub-problems. Finally, eliminate any unnecessary details or distractions.

Why is it important to simplify a problem before attempting to solve it?

Simplifying a problem allows you to focus on the essential elements and avoid getting overwhelmed by unnecessary details. It also helps to identify any gaps in your understanding and find more efficient solutions.

Can you give an example of how you would simplify a complex problem?

Sure, let's say we have a complex math problem involving multiple equations and variables. To simplify it, we could start by breaking it down into individual equations and solving each one separately. Then, we can combine the solutions to get the final answer.

Are there any downsides to simplifying a problem?

While simplifying a problem can be helpful, it's important to remember that oversimplifying can also lead to incorrect or incomplete solutions. It's crucial to strike a balance between simplifying and retaining the necessary complexity to accurately solve a problem.

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