Question

The sum
of the squares of three consecutive natural Rumber is
149. Find the numbeos.​

Answer 1

Answer:

6^2 + 7^2 + 8^2 = 36 + 49 + 64 = 149.

Step-by-step explanation:

6^2 + 7^2 + 8^2 = 36 + 49 + 64 = 149. I hope this is helpful.

Answer 2

Answer:

6, 7, 8

Step-by-step explanation:

Let the consecutive natural numbers be

n-1,n,n+1

n^2+(n-1)^2+(n+1)^2 = 149

n^2+(n^2+1-2n)+(n^2+1+2n) = 149

3(n^2) + 2 = 149

3(n^2) = 147

n^2 = 147/3

n = √49

n = 7

Therefore the numbers are:

7-1, 7, 7+1 = 6, 7, 8

Hope it helps you...