Instructions: select the correct answer from each drop-down menu. the sum of the squares of two consecutive positive even numbers is 340. find the numbers. the consecutive even numbers are

Looking at the problem, you can come up with an equation for the consecutive numbers. 



If we expand the second term:


Combine like terms:



You can reduce this by dividing both sides of the equation by two:



And we transpose 170 to get a standard quadratic form that the right side will be zero:


Then factor the left side:


Find out the values of x that makes each factor = 0
x + 14 = 0
x = -14

We can eliminate the negative symbol because the problem is asking for positive even integers.

and;

x - 12 = 0
x = 12

Now we can say that the first positive integer is 12 and the second one is 14