Question 328726
Call the first page {{{p}}}
The 2nd page will be {{{p+1}}}
given:
{{{p*(p+1) = 2352}}}
{{{p^2 + p = 2352}}}
Complete the square:
{{{p^2 + p + (1/2)^2 = 2352 + (1/2)^2}}}
{{{(p + 1/2)^2 = 2352 + 1/4}}}
{{{(p + 1/2)^2 = 9409/4}}}
Take the square root of both sides
{{{p + 1/2 = 97/2}}}
{{{p = 97/2 - 1/2}}}
{{{p = 96/2}}}
{{{p = 48}}}
{{{p + 1 = 49}}}
The pages are 48 and 49
check:
{{{48*49 = 2352}}}
OK