SOLUTION: set up the equation to solve the following word problem. the sum of an integer and its square is 72. find the number. describe what kind of equation this is and how it would be sol

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: set up the equation to solve the following word problem. the sum of an integer and its square is 72. find the number. describe what kind of equation this is and how it would be sol      Log On


   



Question 254410: set up the equation to solve the following word problem. the sum of an integer and its square is 72. find the number. describe what kind of equation this is and how it would be solved
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
n+n^2=72
quadratic equation
n^2+n-72=0
we can factor it
8 and 9 are factors of 72 with one difference
(n-8)(n+9)=0
n=8
n=-9
8+64=72
-9+81=72