Answer:
Hello :
4x² - 8x +3 = 0
4 ( x² - 2x +3/4 ) = 0
4 ( (x² -2x +1) -1 + 3/4) = 0
4 ((x-1)² - 1/4 ) =0
(x-1)² - 1/4 = 0
(x-1)² - ( 1/2 )²=0
( x - 1 -1/2 ) ( x - 1 +1/2 ) = 0
( x - 3/2) ( x - 1/2) = 0
x - 3/2 = 0 or x - 1/2 = 0
two solutions : 3/2 ; 1/2