Exponential Equation: If X is one more than twice Y, what is the value of X?

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The discussion centers on solving the exponential equation where X is defined as one more than twice Y, and the square of X equals four times the square of Y. The equations derived are X² = 4Y², leading to the solutions X = 2Y or X = -2Y. By substituting X with 2Y + 1, users are guided to explore the implications of both potential values for X, ultimately seeking to determine the specific value of X.

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The square of X is equal to 4 times the square of Y. If X is one more than twice Y, what is the value of X?
 
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Hello and welcome to MHB, ScrewedIre! (Wave)

We ask that our users show their progress (work thus far or thoughts on how to begin) when posting questions. This way our helpers can see where you are stuck or may be going astray and will be able to post the best help possible without potentially making a suggestion which you have already tried, which would waste your time and that of the helper.

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ScrewedIre said:
The square of X is equal to 4 times the square of Y.
X^2= 4Y^2
Do you see that either X= 2Y or X= -2Y?

If X is one more than twice Y
X= 2Y+ 1

If you replace X with 2Y what do you get? If you replace X with -2Y what do you get?

, what is the value of X?
 

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