SOLUTION: Solve for P q = p / √((p^2)+1)

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Question 545623: Solve for P
q = p / √((p^2)+1)
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
q+=+p+%2F+sqrt%28%28p%5E2%29%2B1%29
take the square of both sides
q%5E2=p%5E2%2F%28p%5E2%2B1%29
%28p%5E2%2B1%29%2Fp%5E2=1%2Fq%5E2
%28p%5E2%2Fp%5E2%29+%2B%281%2Fp%5E2%29=+1%2Fq%5E2
1%2B%281%2Fp%5E2%29=1%2Fq%5E2
1%2Fp%5E2=+%28%281%2Fq%5E2%29-1%29%29
1%2Fp%5E2=%281-q%5E2%29%2Fq%5E2
p%5E2=q%5E2%2F%281-q%5E2%29
Take the square root
p=%2B%28q%2F%28sqrt%281-q%5E2%29%29%29
OR
p=-%28q%2F%28sqrt%281-q%5E2%29%29%29
m.ananth@hotmail.ca