Question

The sum of the squares of two consecutive even natural numbers is 100. Write the
quadratic equation.

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Answer 1

Answer:

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When n=6 then n+2= 8 and we get 6²+8²=36+64=100. When n=8 then n+2=10 and we get 8²+10²=64+100=164. Clearly n=6 and n+2=8 is correct. The 2 consecutive even numbers whose squares add up to 100 is 6 and 8.

Answer 2

Answer:

let one even no be x

x+2= other even number

because x+1 is odd

(x)²+(x+1)²=100

Step-by-step explanation:

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