ICSE Class 10 Answered
the product of two consecutive integer is 56. find the integer
Asked by agarwaladiti315 | 31 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.
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 | 01 Aug, 2021, 05:09: PM
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