SOLUTION: i need help with this problem: 2x^2+7x+5 divided by the square root of 4x^2+20x+25?

Algebra ->  Square-cubic-other-roots -> SOLUTION: i need help with this problem: 2x^2+7x+5 divided by the square root of 4x^2+20x+25?      Log On


   

Question 299930: i need help with this problem:
2x^2+7x+5 divided by the square root of 4x^2+20x+25?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
2x^2+7x+5 divided by the square root of 4x^2+20x+25?
:
%28%282s%5E2%2B7x%2B5%29%29%2F%28sqrt%284s%5E2%2B20x%2B25%29%29
You should recognize the expression inside the square root as perfect square
this makes it pretty eas
%28%282s%5E2%2B7x%2B5%29%29%2F%28sqrt%28%282s%2B5%29%282s%2B5%29%29%29
therefore we have:
%28%282s%5E2%2B7x%2B5%29%29%2F%28%282s%2B5%29%29
Factor the numerator, cancel the denominator and you have:
%28%282s%2B5%29%28s%2B1%29%29%2F%28%282s%2B5%29%29 = s + 1