SOLUTION: Can someone solve this word problem for me? find three consecutive positive odd integers such that the sum of the squares of the first and second integers is equal to the s

Question 867346: Can someone solve this word problem for me?

find three consecutive positive odd integers such that the sum of the squares of the first and second integers is equal to the square of the third integer plus 9
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
let the odd integers be x, x+2,x+4
sum of squares of first two
x^2+(x+2)^2
which is equal to
(x+4)^2+9
x^2+(x+2)^2=(x+4)^2+9
x^2+x^2+4x+4=x^2+8x+16+9
2x^2+4x+4=x^2+8x+25

x^2-4x-21=0
x^2-7x+4x-21=0
x(x-7)+4(x-7)=0
(x-7)(x+4)=0
x=7 Or -4
but the number is positive
so the numbers are 7,9,11

RELATED QUESTIONS
Find three consecutive positive odd integers such that the sum of their squares is... (answered by ramkikk66,mananth,Alan3354)

Find two consecutive positive odd integers such that the difference of their squares is... (answered by mananth)

Can someone please help me figure this out? Find two consecutive positive integers (answered by jai_kos)

Please help me solve this Three consecutive odd positive integers are such that the... (answered by CubeyThePenguin)

please help me solve this word problem Find three consecutive positive integers such... (answered by CubeyThePenguin)

Find three consecutive positive even integers such that the sum of their squares is... (answered by Alan3354)

Could someone please help me with this equation. Find two consecutive positive integers... (answered by edjones)

can someone solve this problem for me? find two consecutive even integers such that... (answered by richwmiller)

Find three consecutive positive odd intergers such that the sum of the squares of the... (answered by jhaashok630)