SOLUTION: Find three consecutive odd integers of which one half of the sum of the first and second equals the square of the difference of the third and the first.

SOLUTION: Find three consecutive odd integers of which one half of the sum of the first and second equals the square of the difference of the third and the first.

Algebra.Com

Question 155017: Find three consecutive odd integers of which one half of the sum of the first and second equals the square of the difference of the third and the first.
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
Integers=x, x+2, x+4
(x+x+2)/2=(x+4-x)^2
(2x+2)/2=4^2
2(x+1)/2=16
x+1=16
x=16-1
x=15 the smallest integer.
15+2=17 the next one.
15+4=19 the largest.
proof:
(15+17)/2=(19-15)^2
32/2=4^2
16=16

RELATED QUESTIONS
Find the three consecutive odd integers such that the sum of the first and third equals... (answered by mananth)

Find three consecutive odd integers such that the sum of the first and the third equals... (answered by josgarithmetic)

Find three consecutive odd integers such that the sum of the first and third equals the... (answered by amoresroy)

find three consecutive odd integers such that the sum of the first and third equals the... (answered by mananth)

i need to find three consecutive odd integers such that the sum of the first and third... (answered by stanbon)

Find Three consecutive odd integers such that the sum of the first and third equals the... (answered by richwmiller)

Find three consecutive odd integers such that the sum of the first and third equals the... (answered by JBarnum)

four times the second of three consecutive integers equals the sum of first and third... (answered by CubeyThePenguin)

three consecutive odd integers such that one-fourth the sum of the first and second odd... (answered by flame8855)