Question

The sum of Squares of two consecutive even natural number is 244. Find the number ​

Answer 1

Answer:

Step-by-step explanation:

let the even natural consecutive numbers are x+1 and x+3

so,

[x+1]^2 + [x+3]^2 = 244

x^2+2x+1+x^2+9+6x = 244

2x^2+8x+10 = 244

2[x^2+4x+5] = 244

x^2+4x+5 = 122

x^2+4x+5-122 = 0

x^2+4x-117 = 0

x^2-9x+13x-117 = 0

x[x-9] +13[x-9] = 0

[x+13][x-9] = 0

x = 9 , -13

therefore the numbers are ; x+1 = 9+1 = 10

                                               x+3 = 9+3=12

10 and 12

Answer 2

Step-by-step explanation:

I hope it will help you..