The product of two integers is 75 and their sum

surgrimpig3x

surgrimpig3x

Answered question

2022-02-05

The product of two integers is 75 and their sum is -28. What are the two integers?

Answer & Explanation

deliria1t4

deliria1t4

Beginner2022-02-06Added 13 answers

-3 and -25
Explanation:
Let the integers be m and n with |m||n|
Since mn=75 is positive, m and n are either both positive or both negative.
If m and n were both positive, then m+n would be positive too, but m+n=28, so m and n are both negative.
75=355
so (m, n) must be one of:
(1,75),(3,25),(5,15)
Of these only (m,n)=(3,25) gives us m+n=28.

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