The product of two consecutive pages in a book is 1122.
Find the page numbers.
Answers
Question :-
The product of two consective pages in a book is 1122. Find the page numbers.
Given :-
Product of two consecutive pages = 1122
To find :-
The two page numbers.
Solution :-
Let consecutive no. be x and x + 1
According to question,
product of these no. = 1122
x ( x + 1) = 1122
x² + x = 1122
x² + x - 1122 = 0
x² + 34x - 33x -1122 = 0
x( x + 34) - 33( x + 34) = 0
( x - 33) ( x + 34) = 0
x - 33 = 0 | x + 34 = 0
x = 33 | x = - 34 .
we take x = 33
Then, 1st consecutive page no. = 33.
2nd consecutive page no. = x + 1
= 33 + 1 = 34.
Final solution :-
Therefore, the page numbers are 33 and 34.
[ Note - Page no. can't be negative so negative sign gonna ignore. ]
Answer:
Let both the number be x and x + 1
then ,
x (x + 1) = 1122
x² + x = 1122
x² + x - 1122= 0
x² + 34x - 33x - 1122 = 0
x(x + 34 ) -33(x + 34) = 0
x - 33 = 0
x = 33
x + 34 = 0
x = -34
Rejecting the negative value...
so the consecutive numbers are 33 and 33 + 1 = 34