The product of two consecutive even numbers is 12768 . What is the greatest numbaer
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Let the two consecutive even numbers be x and x+2
Where x+2 is the bigger one
According to the question-
(x+2)×x = 12768
X^2 + 2x = 12768
X^2 + 2x - 12768=0
X^2 +114x-112x - 12768=0
x (x + 114) - 112 ( x+114)=0
(x+114)( x-112)= 0
Therefore x= 112 or -114
Therefore the greater no. will be 114
(When x = 112)
Or the greater no. will be - 112
( When x = - 114)
Where x+2 is the bigger one
According to the question-
(x+2)×x = 12768
X^2 + 2x = 12768
X^2 + 2x - 12768=0
X^2 +114x-112x - 12768=0
x (x + 114) - 112 ( x+114)=0
(x+114)( x-112)= 0
Therefore x= 112 or -114
Therefore the greater no. will be 114
(When x = 112)
Or the greater no. will be - 112
( When x = - 114)
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