# SOLUTION: If x^2+6x+16=(x+a)^2+b for all values of x. Find a and b

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 Question 156142: If x^2+6x+16=(x+a)^2+b for all values of x. Find a and bAnswer by jim_thompson5910(28598)   (Show Source): You can put this solution on YOUR website! Start with the given equation FOIL Subtract from both sides Notice how the term is the only term on the right side that has an "x" in it. So this means that Start with the given equation Divide both sides by to isolate "a" So the first answer is ------------------------- Looking back at , the terms do not have an "x" term in them at all. So this means that Start with the given equation Plug in a=3 Square 3 to get 9 Subtract 9 from both sides So the second answer is Check: } works