one integer is 2 units more than another. if the product of the two integers is equal to five times the larger, then find the two integers.

Question

one integer is 2 units more than another. if the product of the two integers is equal to five times the larger, then find the two integers.

Answer 1

n and n+2 are the integers

n(n+2)=5(n+2)

n^2+2n=5n+10

n^2+2n-5n-10=0

n^2-3n-10=0

(n-5)(n+2)=0

n-5=0

n=5

n+2=7

 

n+2=0

n=-2

n+2=0

 

there are two solutions: 7 and 5 is one solution and 0 and -2 is another solution