Question 860580: find three consecutive odd integers such that the product of the second and third is 55 less than 30 times the first
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! find three consecutive odd integers such that the product of the second and third is 55 less than 30 times the first
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let x=1st consecutive odd integer
x+2=2nd consecutive odd integer
x+4=3rd consecutive odd integer
...
(x+2)(x+4)=30x-55
x^2+6x+8=30x-55
x^2-24x+63=0
(x-21)(x-3)=0
x=21
x+2=23
x+4=25
or
x=3
x+2=5
x+4=7
2 sets of 3 consecutive odd integers:
21,23,25
and
3,5,7
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