Find two consecutive even integers whose product is 728 A 26

Find two consecutive even integers whose product is 728. A. -26, - 28 B. 26, 28 or -26, -28 C. 26, - 28 D. 26, 28

Solution

Let, the integers be x and x + 2

so, x * (x + 2) = 728

or, x² + 2x - 728 = 0

or, (x² + 28x) - (26x + 728) = 0

or, x(x + 28) - 26(x + 28) = 0

or, (x + 28) * (x - 26) = 0

or, x = 26 or -28

so, the integers are , (26 and 28 ), or (-28 and -26)

Option-B)