How do you solve this simple problem 3.13(1+x)^2 = 4.32

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To solve the equation 3.13(1+x)^2 = 4.32, one method involves taking the square root of both sides after isolating (1+x)^2. The correct approach requires expanding the equation and simplifying it, ultimately leading to the application of the quadratic formula. The solution yields two possible values for x, one of which is approximately 0.1748. Participants in the discussion clarify their methods and arrive at the correct solution together. Understanding the steps to simplify and solve the equation is crucial for finding the correct value of x.
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Homework Statement



3.13(1+x)^2 = 4.32


Homework Equations





The Attempt at a Solution



my answer was.1444
 
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how did you get your answer
 
Welcome to PF.

Not sure your method, but I get something different.

Plugging in your value I get 4.096 = 4.32

Maybe try taking the square root of both sides of

(1+x)2 = 4.32/3.13

And then solving simply?
 
3.13(1+x)^2 = 4.32

x= .1748

i was wondering if u guys can show me the steps to get the x number
 
peter135 said:
3.13(1+x)^2 = 4.32

x= .1748

i was wondering if u guys can show me the steps to get the x number

I thought I just did.
 
sorry i did not read your post correctly. thanks for the help. i got it now
 
To solve this correctly you need to expand and simplify and then use the quadratic formula to find x. There are two solutions to this equation.
 

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