Problema Solution
The product of two consecutive even integers is 224. Find the integers.
Answer provided by our tutors
the two consecutive even integers can be written as
2x and 2x + 2
where x is integer
the product of the numbers is 224 thus
2x(2x + 2) = 224
by solving we find 2 roots
x1 = 7
x2 = -8
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for x = 7 the numbers are 2*7 = 14 and 14 + 2 = 16.
for x = -8 the numbers are 2*(-8) = -16 and -16 + 2 = -14.