SOLUTION: Find 3 consecutive even numbers where the product of the smaller two numbers is 64 less than the square of the largest number

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Question 202094: Find 3 consecutive even numbers where the product of the smaller two numbers is 64 less than the square of the largest number
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Find 3 consecutive even numbers where the product of the smaller two numbers is 64 less than the square of the largest number.
:
"3 consecutive even numbers": x, (x+2), (x+4)
:
" where the product of the smaller two numbers is 64 less than the square of the largest number"
x *(x+2) = (x+4)^2 - 64
:
x^2 + 2x = x^2 + 8x + 16 - 64
:
x^2 - x^2 + 2x - 8x = 16 - 64
:
-6x = -48
x = %28-48%29%2F%28-6%29
x = +8
:
8, 10, 12 are the numbers
:
:
Check solution in the statement:
"the product of the smaller two numbers is 64 less than the square of the largest"
8 * 10 = 144 - 64