SOLUTION: It would be greatly appreciated if you helped me with: Find three consecutive, positive, even integers such that the product of the second and the third is 80. I've attemp

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: It would be greatly appreciated if you helped me with: Find three consecutive, positive, even integers such that the product of the second and the third is 80. I've attemp      Log On


   



Question 859570: It would be greatly appreciated if you helped me with:
Find three consecutive, positive, even integers such that the product of the second and the third is 80.
I've attempted at:
(x)(x+2)(x+4)=80
Thanks for the help!

Found 2 solutions by ewatrrr, josmiceli:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
three consecutive, positive, even integers: (x),(x+2),(x+4) Yes!
Question States***product of the second and the third is 80.
(x+2)(x+4)=80
x^2 + 6x - 72 = 0
(x + 12)(x- 6) = 0, x = 6 (tossing out negative solution)
the three consecutive, positive, even integers are: 6, 8, 10

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+n+, +n%2B2+, +n+%2B+4+
are the consecutive even integers
-------------------------------
The product of the second and the third is 80
+%28+n+%2B+2+%29%2A%28+n+%2B+4+%29+=+80+
+n%5E2+%2B+6n+%2B+8+=+80+
+n%5E2+%2B+6n+=+72+
Complete the square:
+n%5E2+%2B+6n+%2B+%286%2F2%29%5E2+=+72+%2B+%286%2F2%29%5E2+
+n%5E2+%2B+6n+%2B+9+=+72+%2B+9+
+n%5E2+%2B+6n+%2B+9+=+81+
+%28+n+%2B+3+%29%5E2+=+9%5E2+
Take the square root of both sides
+n+%2B+3+=+9+
+n+=+6+
+n+%2B+2++=+8+
+n+%2B+4+=+10+
The numbers are 6, 8, and 10