Answer:
His book was opened at Page no.296 and Page no.297
Step-by-step explanation:
Let the page number of one page be x
Page number of page facing page no. x = x+1
We are given that the product of the facing pages was 87,912.
So, x(x+1)=87912
[tex]x^2+x=87912[/tex]
[tex]x^2+x-87912=0[/tex]
[tex]x^2-296x+297x-87912=0[/tex]
[tex]x(x-296)+297(x-296)=0[/tex]
(x+297)(x-296)=0
x=296,-297
Since Page no. cannot be negative
So, x=296
x+1=296+1=297
So, his book was opened at Page no.296 and Page no.297
