The 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.

Question

Accepted Answer

Step:1 ：We are given that the difference of the squares of two consecutive even integers is 20. We can represent this mathematically as ((x+2)^2 - x^2 = 20).Step:2 ：Solving this equation, we find that the solution to the equation is (x = 4).Step:3 ：This means that the two consecutive even integers are 4 and 6.Step:4 ：Final Answer: The two consecutive even integers are (boxed{4}) and (boxed{6}).

Answer

Step: 1 ：We are given that the difference of the squares of two consecutive even integers is 20. We can represent this mathematically as ((x+2)^2 - x^2 = 20).Step: 2 ：Solving this equation, we find that the solution to the equation is (x = 4).Step: 3 ：This means that the two consecutive even integers are 4 and 6.Step: 4 ：Final Answer: The two consecutive even integers are (boxed{4}) and (boxed{6}).

The 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.

Answer

Popular Problems