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

In summary, the square of X is equal to 4 times the square of Y and if X is one more than twice Y, the value of X can be expressed as either 2Y+1 or -2Y+1.
  • #1
ScrewedIre
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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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  • #2
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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  • #3
ScrewedIre said:
The square of X is equal to 4 times the square of Y.
[tex]X^2= 4Y^2[/tex]
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?
 

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

What is an exponential equation?

An exponential equation is an equation in which a variable appears in an exponent. It is a mathematical expression of the form y = ax where a is a constant and x is the variable.

How do I solve an exponential equation?

There are a few different methods for solving exponential equations, depending on the specific equation. One common method is to take the logarithm of both sides of the equation, which allows you to bring the exponent down as a coefficient. Another method is to use the properties of exponents, such as the power rule or the product rule, to simplify the equation.

What does it mean for X to be "one more than twice Y"?

This phrase is describing a relationship between two variables, X and Y. It means that X is equal to two times Y, plus one more. In other words, X is always one more than twice the value of Y.

How can I find the value of X in this exponential equation?

In order to find the value of X, you will need to be given the value of Y. Once you know the value of Y, you can plug it into the equation and use algebraic methods to solve for X.

Can this exponential equation be solved without using algebra?

It depends on the specific equation and the given information. In some cases, it may be possible to solve using a calculator or a graphing tool. However, most exponential equations will require some form of algebraic manipulation in order to solve for the variable.

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