SOLUTION: Find 3 consecutive even numbers where the product of the smaller two numbers is 52 less than the square of the largest number.

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Question 311476: Find 3 consecutive even numbers where the product of the smaller two numbers is 52 less than the square of the largest number.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let the consequtive even numbers be x,x+2 , x+4
Product of smaller two = x(x+2)
.
square of the largest = (x+4)^2
.
x(x+2)=(x+4)^2 -52
x^2+2x= x^2+8x+16-52
6x=36
x= 6
The numbers are 6,8,10