Math, asked by jannusweety00, 1 month ago

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

Answers

Answered by amithalwai77
2

Step-by-step explanation:

let the number are x and x+2

ATQ x^2+(x+2)^2=394

Answered by ganilkumar953
2

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

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