SOLUTION: A student opens a mathematics book to two facing pages. The product of the page numbers is 1482. Find the page numbers.
First page is _
Second page is _
Algebra.Com
Question 156137: A student opens a mathematics book to two facing pages. The product of the page numbers is 1482. Find the page numbers.
First page is _
Second page is _
Found 2 solutions by checkley77, jim_thompson5910:
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
X(X+1)=1482
X^2+X-1482=0
(X+39)(X-38)=
X-38=0
X=38 FOR THE SMALLER INTEGER.
38+1=39 FOR THE SECOND INTEGER.
PROOF:
38*39=1482
1482=1482
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Since the pages are next to each other this means that the first page is "x" and the second page is "x+1". Because the "product of the page numbers is 1482", this means that
Start with the given equation
Distribute
Subtract 1482 from both sides
Factor the left side
or Set each factor equal to zero
or Solve for "x" in each case
Ignoring the negative answer (you cannot have a negative page number), the only solution is
------------------------------------------
Answer:
So the first page is 38 and the second page is 39
Check:
38*39=1482
1482=1482 ... works
RELATED QUESTIONS
A student opens a mathematics book to two facing pages. The product of the page numbers... (answered by stanbon)
a student opens a mathematics book to two facing pages. The product of the page numbers... (answered by jim_thompson5910)
A student opens a mathematics book to two facing pages. the product of the page numbers... (answered by richard1234)
A student opens a mathematics book to two facing pages. The product of the page numbers... (answered by checkley77)
a student opens a mathematics book to two facing pages. the product of the page numbers... (answered by edjones)
A student opens a mathematics book to two facing pages. The product of the page numbers... (answered by checkley77,Grinnell)
A student opens a mathematics book to two facing pages. The product of page numbers is... (answered by Alan3354)
A student opens a mathematics book to two facing pages. the product of the page number is (answered by Alan3354)
A student opens his math book to two facing pages. The product of the page numbers is... (answered by solver91311)