SOLUTION: Please show me how to solve this rational equation step by step h = s-2(pi)r^2/2(pi)r for s Any help will be greatly appreciated. Thanks

Algebra ->  Rational-functions -> SOLUTION: Please show me how to solve this rational equation step by step h = s-2(pi)r^2/2(pi)r for s Any help will be greatly appreciated. Thanks      Log On


   

Question 23279: Please show me how to solve this rational equation step by step
h = s-2(pi)r^2/2(pi)r for s
Any help will be greatly appreciated.
Thanks
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
Is this the problem you had in mind: +h+=+%28s-2%2Api%2Ar%5E2%29%2F%282%2Api%2Ar%29+for s?

If so, then first step is to multiply both sides of the equation by the denominator, which is 2%2Api%2Ar:
+h+=+%28s-2%2Api%2Ar%5E2%29%2F%282%2Api%2Ar%29+
%282%2Api%2Ar%29%2A+h+=%282%2Api%2Ar%29%2A%28%28s-2%2Api%2Ar%5E2%29%2F%282%2Api%2Ar%29%29+

The denominator divides out, leaving:
2%2Api%2Ar%2A+h+=s-2%2Api%2Ar%5E2+

Now, add %2B2%2Api%2Ar%5E2 to each side of the equation, in order to get the s alone on the right side:
2%2Api%2Ar%2A+h+=s-2%2Api%2Ar%5E2+
2%2Api%2Ar%2A+h%2B2%2Api%2Ar%5E2++=s-2%2Api%2Ar%5E2+%2B2%2Api%2Ar%5E2+
2%2Api%2Ar%2A+h%2B2%2Api%2Ar%5E2++=s+

R^2 at SCC