The sum of the squares of two consecutive positive integers is 41. find the two positive integers.

We have to present the number 41 as the sum of two squares of consecutive positive integers.

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

16 + 25 = 41

Other method:

n, n + 1 - two consecutive positive integers

The equation:

n² + (n + 1)² = 41     use (a + b)² = a² + 2ab + b²

n² + n² + 2(n)(1) + 1² = 41

2n² + 2n + 1 = 41     subtract 41 from both sides

2n² + 2n - 40 = 0     divide both sides by 2

n² + n - 20 = 0

n² + 5n - 4n - 20= 0

n(n + 5) - 4(n + 5) = 0

(n + 5)(n - 4) = 0 ↔ n + 5 = 0 ∨ n - 4 =0

n = -5 < 0 ∨ n = 4 >0

n = 4

n + 1 = 4 + 1 = 5

i dont know sorry

step-by-step explanation:

the total estimated nappy use.=10,500,000

step-by-step explanation:

given that on an average the average baby uses 3528 napkins.

in a particular year 2014, the number of births were 299697 in new south wales.

rounding off the number of births to the nearest hundred thousand we have

no of birtsh = 300000

also rounding off the average usage to nearst thousand we get

average use of a baby = 3500

hence total number of nappy estimated to be used = 3500x300000

= 10,500,000

answer is 10,500,000 nappies