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1. What is the product of two consecutive positive integers if the smaller number is 2x - 5?

Sagot :

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[tex] \large\underline \bold{{SOLUTION}}[/tex]

Notice that when two consecutive positive integers , they are expressed as x and x+1. Which the smaller is added by 1. Thesame goes for the given.

[tex]\textsf{Smaller = 2x-5}[/tex]

[tex]\textsf{Smaller = 2x-5+1 $\implies$2x-4}[/tex]

Now , Getting their product:

[tex]\longmapsto\rm{(2x-5)(2x-4)}[/tex]

[tex]\longmapsto\rm{4x²-10x-8x+20}[/tex]

[tex]\longmapsto\boxed{\rm{4x²-18x+20}}[/tex]

[tex] \large\underline{ \bold{ANSWER}}[/tex]

  • [tex]\textrm{The product is $4x²-18x+20$}[/tex]