Question

The sum of the squares of two consecutive even numbers is 394. The mathematical equation for the above statement is

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Answer 1

Step-by-step explanation:

⇒ Let two consecutive odd number be x and x+2

According to the question,

⇒ x^2+(x+2) ^2=394

⇒ x^2+x^2+4x+4=394

⇒ 2x^ 2+4x−390=0

⇒ x^2+2x−195=0

⇒ x^2+15x−13x−195=0

⇒ x(x+15)−13(x+15)=0

⇒ (x+15)(x−13)=0

⇒ x+15=0 and x−13=0

⇒ x=−15 and x=13

∴ On number is 13

⇒ Other number =13+2=15

⇒ Required product =13×15=195

Answer 2

Step-by-step explanation:

Sum of two consecutive number=2x

Their sum =394

. ...

According to question .. Consecutive..1x,2x

...2x=394.....X=394/2=197..

now ...197-1=196

197+1=198...

198,196 ....will be the answer of this question..

And if we do...the same equation in square then..