Question

Find three numbers in A.P. whose sum is 6 and the sum of whose square is 44.
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Answer 1

Answer:

Let the number be

a‐d,a,a,d

a-d+a+a+d=6

3a=6

a=2

(a-d)²+a²+(a+d)²=44

(2-d)²+2²+(2+d)²=44

(2-d)²+4+(2+d)²=44

4-d²-4d+2d²+4+4+d²+4d+2d²=44

8+4d²=44

4d²=44-8

d²=36/4

d²=9

Nos. are 9+root 9,9,9-root9 or

9-root 9,9,9+root 9

I hope you understand

With Regard

Ayush Sinha