16x²-160√3x+800=0

16x²-160√3x+800=0
16x²-160√3x+800=0

16x²-160√3x+800=0
16x²-160√3x+800
= 16 (x²-10√3x+50)
= 16 (x²-10√3x+75 -25)
= 16 (x-5√3)² -400
= 0
so
(x-5√3)² = 400/16 = 25
x-5√3 = (+-)5
x = (+-)5 + 5√3