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

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The discussion revolves around solving the equation where the square of X equals four times the square of Y, and X is defined as one more than twice Y. The equation X^2 = 4Y^2 leads to two potential solutions for X: X = 2Y or X = -2Y. By substituting these values into the equation X = 2Y + 1, users are prompted to explore the outcomes of each substitution. The goal is to determine the specific value of X based on these relationships. The discussion emphasizes the importance of showing progress to facilitate better assistance.
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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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