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)

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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?
 
I have been insisting to my statistics students that for probabilities, the rule is the number of significant figures is the number of digits past the leading zeros or leading nines. For example to give 4 significant figures for a probability: 0.000001234 and 0.99999991234 are the correct number of decimal places. That way the complementary probability can also be given to the same significant figures ( 0.999998766 and 0.00000008766 respectively). More generally if you have a value that...

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