SOLUTION: find 3 consecutive even numbers where the product of the two smaller numbers is 52 less than the largest number squared

SOLUTION: find 3 consecutive even numbers where the product of the two smaller numbers is 52 less than the largest number squared

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Question 883027: find 3 consecutive even numbers where the product of the two smaller numbers is 52 less than the largest number squared
Answer by LinnW(1048) (Show Source): You can put this solution on YOUR website!
x first
x + 2 is the second
x + 4 is the third
x(x+2) = (x+4)^2 - 52
x^2 + 2x = x^2 + 8x + 16 -52
x^2 + 2x = x^2 + 8x -36
add -x^2 to each side
2x = 8x -36
add -8x to each side
-6x = -36
divide each side by -6
x = 6
So the numbers are 6 , 8 , 10
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