SOLUTION: Find 3 consecutive even numbers whenthe product of the smaller two numbers is 40 less than the square of the largest number.

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: Find 3 consecutive even numbers whenthe product of the smaller two numbers is 40 less than the square of the largest number.      Log On


   

Question 310741: Find 3 consecutive even numbers whenthe product of the smaller two numbers is 40 less than the square of the largest number.
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
x,x+2,x+4 these are 3 consecutive evennumbers (i.e. if x=2 then 2+2=4 2+4=6)
smaller two are x and x+2
larger one is x+4
x%28x%2B2%29=%28x%2B4%29%5E2-40
x%5E2%2B2x=x%5E2%2B8x%2B16-40
0=6x-24
24=6x
4=x
4,6,8 are the 3 numbers