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3 years ago

The sum of the squeres of two consecutive positive even numbers is 340. Find the numbers

Mathematics

1 answer:

sashaice [31]3 years ago

3 0

Answer:

The numbers are 12 and 14 ONLY

Step-by-step explanation:

To find the answer, set up an equation.

Set

equal to the lower number, and

as the higher number since they are consecutive even numbers so they are two apart.

Now write out the equation according to the question

(

)

(

)

340

Combine like terms.

340

Set equal to zero so you can factor.

−

336

(

)

(

−

)

−

because the answer must be positive according to the question.

That means

is 14.

You can double check:

(

)

(

)

340

144

196

340

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