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The difference of the squares of two positive consecutive even integers is 44 find the integers use the fact that if X represents an even integer then X +2 represents the next consecutive even integers

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apologiabiology

Answer:

The 2 integers are 10 and 12

Step-by-step explanation:

Translate it into english

"The difference (some subtraction) of the squares of two positive consecutive integers ([tex]x^2[/tex] and [tex](x+2)^2[/tex]) is (=) 44 (44)"

this means the following:

[tex](x+2)^2-x^2=44[/tex]

solve for x to find the smaller integer

first, expand

[tex](x^2+4x+4)-x^2=44[/tex]

[tex]x^2+4x+4-x^2=44[/tex]

[tex]4x+4=44[/tex]

[tex]4x=40[/tex]

[tex]x=10\rightarrow x+2=10+2=12[/tex]

The 2 integers are 10 and 12

aliyahyzabelle06

Answer:

The 2 integers are 10 and 12

Step-by-step explanation:

Translate it into english

"The difference (some subtraction) of the squares of two positive consecutive integers ( and ) is (=) 44 (44)"

this means the following:

solve for x to find the smaller integer

first, expand

The 2 integers are 10 and 12

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