Question

the sum of the square of two consecutive even natural number is 724 find the number ​

Answer 1

Answer:

I think you made a mistake or you missed "two consecutive even integers".

Let the two numbers be x and x + 2.

     x² + (x + 2)² = 724

     x² + x² + 4x + 4 = 724

     2x² + 4x - 720 = 0

     x² + 2x - 360 = 0

     (x + 20)(x - 18) = 0

x = -20 or 18

Step-by-step explanation:

Answer 2

Answer:

18 square plus 20 square

324+400

= exactly 724

so the answer is

sum of the squares of 18 and 20 gives 724

18 and 20