the product of two consecutive integer is 56. find the integer

Asked by agarwaladiti315 | 31st Jul, 2021, 01:04: PM

Expert Answer:

Two consecutive integers are of the form
x and x + 1
Their product is equal to 56
x(x + 1) = 56
This equation can be solved as-

x2 + x - 56 = 0

Factor and solve

(x - 7)(x + 8) = 0

solutions: x = 7 , x = -8

x= - 8 is not valid since the number sought must be positive. Hence

x = 7 and x + 1 = 8 are the two consecutive numbers.

Answered by Ravi | 1st Aug, 2021, 05:09: PM