Question

The sum of the squares of two consecutive odd numbers is 394. The mathematical

equation for the above statement is

A. x2+(x+1)2=394


B. x2+(x+2)2=394


C. (x+1)2+(x+2)2=394


D. x+(x+2)2=394

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Answer 1

Answer:

B. $x^{2} + (x+2)^{2} = 394$

Step-by-step explanation:

The difference between any two consecutive odd numbers is 2. If x is an odd number, the very next odd number is (x+2).

Their squares are $x^2$ and $(x+2)^2$ respectively.

Therefore, the sum of their squares is $x^2 + (x+2)^2$

Thus we get our answer $x^2 + (x+2)^2 = 394$

Answer 2

Answer:

The equation for the given statement is $x^{2} + (x+2)^{2} = 394$  .

Step-by-step explanation:

The equation for the given statement is  $x^{2} + (x+2)^{2} = 394$.  

Hence option A is correct.

Step 1:

Let one number be $x$.

The other consecutive odd number will be $x + 2$ .

Step 2:

Therefore, the sum of the squares of both consecutive odd numbers will be equal to $394$.

$\implies x^{2} + (x+2)^{2} = 394$

Hence, the equation for the given statement is $x^{2} + (x+2)^{2} = 394$  .

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