Question

the sum of squares of 3 consecutive numbers 974 find find the number ​

Answer 1

Question:

The Sum of Squares of 3 Consecutive numbers = 974. Find the number.

Solution:

Let,

The numbers be = x, x+1, x+2

Their squares = x², (x+1)², (x-1)²

The formula formed,

⇒ $x^{2} + (x+1)^{2} + (x-1)^{2} = 974$

⇒ $x^{2} + (x^{2} + 2x + 1) + (x^{2} - 2x + 1) = 974$

⇒ $3x^{2} + 2 = 974$

⇒ $3x^{2} = 974 - 2$

⇒ $3x^{2} = 972$

⇒ $x^{2} = \frac{972}{3}$

⇒ $x^{2} = 324$

⇒ $x^{2} = \sqrt{324}$

Answer:

⇒ ∴ $x = 18$

I hope this helps :)
Mark Brainliest if you got helped.