Răspuns :
x^2-5x+4=0
/\=b^2-4ac=>/\=25-16=>/\=9
X1=(5+3)/2=>X1=4
X2=(5-3)/2=>X2=1
[tex] {x}^{2} - 5x + 4 = 0[/tex]
[tex] {x}^{2} - 4x - x + 4 = 0[/tex]
[tex]x(x - 4) - (x - 4) = 0[/tex]
[tex](x - 4)(x - 1) = 0[/tex]
[tex]x - 4 = 0 = > x = 4[/tex]
[tex]x - 1 = 0 = > x = 1[/tex]
[tex] {x}^{2} - 4x - x + 4 = 0[/tex]
[tex]x(x - 4) - (x - 4) = 0[/tex]
[tex](x - 4)(x - 1) = 0[/tex]
[tex]x - 4 = 0 = > x = 4[/tex]
[tex]x - 1 = 0 = > x = 1[/tex]