A student evaluates the equation y=2x+5 , using a variety of values for x . After evaluating the equation the student claims: "When x is a positive integer then y is also a positive integer and when x is a negative integer then y is also a negative integer." What is a value of x that proves that the student's claim is NOT true?

what is the original number? you forgot to add it.

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584