Question

The product of the two consecutive positive integers is 1 more than the sum. Find the integers.

Answer 1

the equation used to set that up would be x(x+1)=1+x+(x+1)

Answer 2

let the integers be a and b
then ab = a + b + 1
b = a + 1
therefore a(a + 1) = a + a+1 + 1
a^2 + a = 2a + 2
a^2 -a - 2 = 0
solve quadratic
a = 2, b= 3

Answer 3

yeah, I got the same thing but I wasn't sure

Answer 4

good practice to always check your solution
ab = a + b + 1
2*3 = 2 + 3 + 1
6 = 6 therefore 2,3 correct
keep practicing