SOLUTION: Hi, I am having problems solving the below, can you please help. 353.33 = 1040/(1 + x/2)^2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Hi, I am having problems solving the below, can you please help. 353.33 = 1040/(1 + x/2)^2      Log On


   

Question 201764: Hi, I am having problems solving the below, can you please help.
353.33 = 1040/(1 + x/2)^2
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
353.33+=+%281040%2F%28%281+%2B+x%2F2%29%5E2%29%29
First let's eliminate the big fraction by multiplying both sides by its denominator:

On the right the fraction disappears:

giving
353.33%2A%281+%2B+x%2F2%29%5E2+=+1040
Now we divide both sides by 353.33
%28353.33%2A%281+%2B+x%2F2%29%5E2%29%2F353.33+=+1040%2F353.33
On the left the 353.33's cancel
%28cross%28353.33%29%2A%281+%2B+x%2F2%29%5E2%29%2Fcross%28353.33%29+=+1040%2F353.33
giving
%281+%2B+x%2F2%29%5E2+=+2.9434239945659865
Now we find the square root of both sides. Remember to account for both the positive and negative square root.
1+%2B+x%2F2+=+1.7156409865021255 or 1+%2B+x%2F2+=+-1.7156409865021255
Subtracting 1 from both sides of each:
x%2F2+=+0.7156409865021255 or x%2F2+=+-2.7156409865021255
Multiplying both sides of both equations by 2:
x+=+1.4312819730042510 or x+=+-5.4312819730042510