Solve
(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

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