The sum of two integers is 5. Their product is -6. What are the integers? F. -1, 6       G. 2,3 H. 1,-6        J. 2,-3  

Expert Answers
embizze eNotes educator| Certified Educator

Let the integers be x and y.

If the sum of the integers is 5 then x+y=5.

If the product of the integers is -6 then xy=-6.

From the first equation we have y=5-x. Substituting into the second equation yields:




`(x-6)(x+1)=0` You could also solve with the quadratic formula

so x=6 or x=-1.

If x=6 then y=-1 and if x=-1 then y=6


The two integers are 6 and -1; the answer is F


In a multiple choice situation you can try the answers to see which works. In H the sum is -5, in G the product is 6, while in J the sum is -1