Question

The sum of the squares of two consecutive odd numbers is 394. The mathematical equation for the above statement is A. x +(x+1)2=394 B. x²+x+2)=394 C. (x+1) + (x+2) =394 D. x+(x+2)2=394​

Answer 1

Answer:

Let two consecutive odd number be x and x+2

According to the question,

⇒  x2+(x+2)2=394

⇒  x2+x2+4x+4=394

⇒  2x2+4x−390=0

⇒  x2+2x−195=0

⇒  x2+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

HOPE IT HELPS YOU

Answer 2

Answer:

195

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