Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

Let the three consecutive positive no`s be x, x + 1, x + 2 then the sum of the squares of the no`s = x² + (x + 1)² + (x + 2)² = 50 as given x² + x² + 1 + 2x + x² + 4 + 4x = 50 ⇒3x² + 6x + 5 = 50 ⇒3x² + 6x = 45 ⇒3x² + 6x - 45 = 0 ⇒3x² -9x + 15x - 45 = 0 ⇒3x(x - 3) + 15(x - 3) = 0 ⇒(x - 3)(3x + 15) = 0 ⇒x - 3 = 0 or 3x + 15 = 0 ⇒x = 3 or 3x = -15 ⇒x = 3 or x = -15/3 = -5 as the question describes the no`s as positive x =3 and not -5 ∴x = 3 , x + 1 =4 , x+2 = 5 ∴the no`s are 3,4,5.

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

Let one of the numbers = x and other two numbers are = x-1 and x+1

(When you have to take three consecutive numbers, always choose x-1, x and x+1. calculations will become easy;)