SOLUTION: a student opens a mathematics book to two facing pages. The product of the page numbers is 506. Find the page numbers. page #1= Page #2=

Question 335961: a student opens a mathematics book to two facing pages. The product of the page numbers is 506. Find the page numbers. page #1= Page #2=
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
"a student opens a mathematics book to two facing pages. The product of the page numbers is 506" means that

Start with the given equation.

Distribute

Subtract 506 from both sides.

Notice that the quadratic is in the form of where , , and

Let's use the quadratic formula to solve for "x":

Start with the quadratic formula

Plug in , , and

Square to get .

Multiply to get

Rewrite as

Add to to get

Multiply and to get .

Take the square root of to get .

or Break up the expression.

or Combine like terms.

or Simplify.

So the possible solutions are or

Ignore the negative answer as negative page numbers don't make sense.

So the pages are 22 and 23

If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my website.

Jim
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