SOLUTION: There are 3 consecutive numbers. The product of the smaller two is equal to twice the third number plus 2. I tried x(x+1)=2(x+2) but the answer of -1 or 4 doesn't plug in. help!

Question 373357: There are 3 consecutive numbers. The product of the smaller two is equal to twice the third number plus 2. I tried x(x+1)=2(x+2) but the answer of -1 or 4 doesn't plug in. help!
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
x(x+1) = 2(x+2)+2.
,
,
,
(x-3)(x+2) = 0, hence x = 3 or x = -2.
If x = 3, then the 3 consecutive numbers are 3,4,5.
If x = -2, then the 3 consecutive numbers are -2,-1,0. Thus there are two sets of solutions.
RELATED QUESTIONS
there are three consecutive integers. the product of the first two plus the third integer (answered by KMST)

There are two consecutive odd numbers such that twice the smaller number plus one is ten... (answered by Gogonati)

There lot of questions: 1. find four consecutive odd numbers such that four times the... (answered by nyc_function)

1. The sum of two numbers is 25. Twice the smaller number is 8 more than the larger. What (answered by srinivas.g,josgarithmetic)

1. I think of two consecutive odd numbers. 5 times the smaller plus 3 timesthe larger is... (answered by checkley71,ankor@dixie-net.com)

what is 3 times the smaller of two consecutive odd intergers is equal to twice the... (answered by drj,solver91311)

Two consecutive odd numbers are such that the difference of twice the larger number and... (answered by Alan3354,greenestamps)

1. The product of two consecutive odd numbers is 10 more than the square of the smaller... (answered by jojo14344)

there are three consecutive odd integers. if we take the difference of the third and the... (answered by josgarithmetic)