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

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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) About Me  (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