SOLUTION: {{{x^2+50x+625=(x+h)^2}}}

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: {{{x^2+50x+625=(x+h)^2}}}      Log On


   

Question 118231This question is from textbook Advanced Algebra
: x%5E2%2B50x%2B625=%28x%2Bh%29%5E2 This question is from textbook Advanced Algebra

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Do you want to solve for h?


x%5E2%2B50x%2B625=%28x%2Bh%29%5E2 Start with the given equation


x%5E2%2B50x%2B625=x%5E2%2B2xh%2Bh%5E2 Foil the right side

Since the term h%5E2 is the only constant term on the right (it's the only term without a variable), and 625 is the only constant term on the left, this means h%5E2=625


sqrt%28h%5E2%29=sqrt%28625%29 Now take the square root of both sides


h=25 Simplify.


So the answer is h=25