Question

The product of the two consecutive integers is 56. Frame the quadratic equation​

Answer 1

Answer:

There are two solutions to this problem. One solution yields the sum of 15 and the other solution yields the sum minus 15. The two consecutive numbers are either +7 and +8 or - 7 and - 8. If X is one of the numbers, then its consecutive is X + 1. And then X*(X+1) = 56 which is a quadratic equation having two roots, namely X = 7 and X = - 8 .

If X = +7 then X + 1 = +8 and +7 plus +8 = 15

If X = - 8 then X +1 = - 7 and - 8 plus - 7 = - 15