1) х²+2х-15=(х-3)(х+5)
х²+2х-15=0
D=b²-4ac=4+60=64
x1=-b+√D/2a=-2+8/2=6/2=3
x2=-b-√D/2a=-2-8/2=-10/2=-5
2) х²-16=(х-4)(х+4)
3) х²-2х+1=(х-1)²
4) 3х²+8х-3=3(х-1/3)(х+3)
х²+8/3х - 1 = 0
D=b²-4ac=64/9 + 4 = 7 1/9 + 4 = 11 1/9 = 100/9
x1=-b+√D/2a=-8/3 + 10/3 : 2 = 2/3 : 2 = 1/3
х2=-b-√D/2a = -8/3 - 10/3 : 2 = -18/3 : 2 = - 3