The sum of the squares of three consecutive integer numbers is 1454. Find the numbers. I have already found 21 22 23 but the question says that there are 2 possibilities. please help

three consecutive integers

Let x,(x+1),(x+2) represent the three consecutive integers

Question states

x^2 +(x+1)^2+(x+2)^2 = 110

Solving for x

3x^2 + 6x  + 5 = 110

3x^2 + 6x  -105 = 0

3(x^2 + 2x - 35)  = 0

 (x^2 + 2x - 35)  = 0  

factoring

 (x+7)(x-5) = 0 Note: SUM of the inner product(7x) and the outer product(-5x) = 2x

 (x+7)=0  |x = -7  The three consecutive integers are -5,-6,-7

 (x-5)=0  |x = 5   The three consecutive integers are 5,6,7

25 + 36 + 49 = 110  

i dont think there is anymore answers

Step-by-step explanation:

the correct answer is 5 6 and 7

c: y > - 1/6x + 1

step-by-step explanation:

dashed line - meaning this < or > also not equal

solid line - meaning this < or > also equal

your answer is c because y > means up & it's shaded up, but y < means down

hope this ! : )