225k views
5 votes
The product of two positive consecutive integers is 462

User Charon ME
by
4.2k points

1 Answer

7 votes

Answer:

21 and 22

Explanation:

if the first integers is n

The second will be n+1

n(n+1)=462

n²+n=462

n²+n-462=0

n²+22n-21n+462=0

n(n+22)-21(n-22)=0

(n-21)(n-22)=0

n= 21 or 22

User Kaltresian
by
2.9k points