(4+root15)^x + (4-root15)^x = 8

Dear Student,
Please find below the solution to the asked query:

Given,4+15x+4-15x=8by hit and trial, we can see x=1 is a solution to this equation4+151+4-151=84+15+4-15=88=8hence x=1 is a solution.also x=-1 is a solution4+15-1+4-15-1=814+15+14-15rationalizing the denominators,4-154+154-15+4+154-154+15=4-1516-15+4+1516-15=4+15+4-151=8=R.H.Shence x=±1 are the solution to this equation

Hope this information will clear your doubts about this topic.

If you have any doubts just ask here on the ask and answer forum and our experts will try to help you out as soon as possible.

  • -2
Square on both sides
  • 1
What are you looking for?