Raymond B. answered 04/27/23
Math, microeconomics or criminal justice
(x+2)^2 -x^2 = 20
x^2 +4x +4 -x^2 =20
4x = 20-4 = 16
x =16/4 = 4, x+2 =4+2 = 6
6^2 -4^2 = 36-16 = 20
the numbers are 4 and 6
Arianna U.
asked 10/21/21The difference of the squares of two positive consecutive even integers is 20. Find the integers. Use the fact that, if x represents an even integer, then x+2 represents the next consecutive even integer.
Raymond B. answered 04/27/23
Math, microeconomics or criminal justice
(x+2)^2 -x^2 = 20
x^2 +4x +4 -x^2 =20
4x = 20-4 = 16
x =16/4 = 4, x+2 =4+2 = 6
6^2 -4^2 = 36-16 = 20
the numbers are 4 and 6
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