Required equation to determine two consecutive even number is
and required numbers are 4 and 6.
<u>Solution:</u>
Given that product of two consecutive positive integer is 14 more that their sum. Need to create the equation and solve it to get two numbers.
Let’s assume first even number be represented by x.
So second consecutive even number will be
Sum of two consecutive number = 
Sum of two consecutive number = 
Product of two consecutive number = 
Product of two consecutive number is 14 more that sum of two consecutive numbers, so if we subtract 14 from product, we will get sum.

One even number = 
Other even number = 
Hence required equation to determine two consecutive even number is
and required numbers are 4 and 6.
Using the completing the square method, for the equation, we have the zeros as <u>x = √26 + 4 and x = 4 - √26</u>
<h3>How can the zeros be found using completing the square method?</h3>
The given equation is presented as follows

Which, by completing the square, gives;




The zeros of the equation;

are;

Learn more about completing the square here:
brainly.com/question/10449635
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The 2 like terms are 400km +924m