Find two consecutive integers whose product is 272

Question

Solving Quadratic Equations

Answer 1

If one integer is x then the other is x+1.
We can write x(x+1)=272, that is: x^2+x-272=0.
Using the quadratic formula: x=(-1±sqrt(1+1088))/2.
x=(-1±33)/2=16 or -17, making x+1=17 or -16.
Two positive integers are 16 and 17; two negative integers -16 and -17.