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  • 15-10-2017
  • Mathematics
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The product of two consecutive positive even integers is 80. Find the integers

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BenjaminG123
BenjaminG123 BenjaminG123
  • 16-10-2017
Greetings!

We can create an equation for this:
[tex](x)(x+2)=80[/tex]
Distribute the Parenthesis.
[tex]x^2+2x=80[/tex]
Add -80 to both sides.
[tex](x^2+2x)+(-80)=80+(-80)[/tex]
[tex]x^2+2x-80=0[/tex]
Factor the Simple Trinomial.
[tex]x^2+10x-8x-80=0[/tex]
Factor by Grouping.
[tex]x(x+10)-8(x+10)=0[/tex]
Factor the GCF.
[tex](x+10)(x-8)=0[/tex]
The Answer Is:
[tex](x+10)=0 \\ (x-8)=0[/tex]
[tex]x=-10 \\ x=8[/tex]

Either:
-10,-8 or 8,10
Can be the solution in this answer.

Hope this helps.
-Benjamin

Answer Link

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