Fathi wants to print out a pdf document that is 484848 pages long. to save paper, he decides to print on both sides of each sheet and to print two pages on each side of the sheet.
how many sheets of paper will he need?

12 sheets of paper

Step-by-step explanation:

Answer for khan people! Here ya go!

The total number of pages is 48, but because he will be printing on both sides of the page (duplex printing) and printing two pages per side (two-up printing), he will need fewer sheets of paper.

Printing on both sides of the page means Fathi will need half as many sheets of paper. He needs only 48/2 =24 sheets if he's just using duplex printing.

Printing two pages per side also reduces the number of sheets of paper by a factor of two, so Fathi will need  24/2 =12

the discriminant is 64 + 4*1*12 = 112

this is prime.

step-by-step explanation: