Question

The sum of squares of two consecutive even
natural number is 244.Find the numbers.

Answer 1

Answer:

let the numbers are x and x+2

so,

x^2+(x+2)^2=244

=> x^2+x^2+4x+4=244

=> 2x^2+4x+4=244

=> 2(x^2+2x+2)=244

=> x^2+2x+2=244/2=122

=> x^2+2x+2-122=0

=> x^2+2x-120=0

=> x^2+12x-10x-120=0

=> x(x+12)-10(x+12)=0

=> (x+12)(x-10)=0

x+12=0

=> x=-12

x-10=0

=> x=10

so the numbers are 10 and 12

or the numbers are -10 and -12

Answer 2

Step-by-step explanation:

I'm attaching this answers for you..