The difference of the squares of two positive consecutive even integers is 7676. find the integers. use the fact that, if x rep

Question

Tasya [4]

3 years ago

6

The difference of the squares of two positive consecutive even integers is 7676. find the integers. use the fact that, if x rep

resents an even integer, then xplus+2 represents the next consecutive even integer.

Mathematics

1 answer:

myrzilka [38] · Answer 1 · 2022-06-10T00:15:51+03:00

myrzilka [38]3 years ago

5 0

Equation is (x+2)^2 - x^2 = 7676
solve the equation by first opening the bracket of (x+2)^2 by A^2 + 2AB +C^2

you'll end up with 4x + 4 = 7672
thus x = 1918 and the next number is 1920.

The difference of the squares of two positive consecutive even integers is 7676. find the integers. use the fact​ that, if x rep

The difference of the squares of two positive consecutive even integers is 7676. find the integers. use the fact that, if x rep