
Nataliya D. answered 04/06/13
Patient and effective tutor for your most difficult subject.
ax2 + bx + c = 0
x1,2 = (-b ± √D) / 2a , D = b2 - 4ac
3x2 + 2x - 16 = 0
D = 22 – 4 · 3 · (-16) = 196
x1,2 = (-2 ± √196) / 2 · 3 = (-2 ± 14)/6 = (-1 ± 7)/3
x1 = (-1 - 7)/3 = -8/3
x2 = (-1 + 7)/3 = 6/3 = 2
1. 3 · (-8/3)2 + 2(-8/3) -16 = 0
64/3 - 16/3 - 16 = 0
0 = 0
2. 3 · 22 + 2 · 2 - 16 = 0
12 + 4 - 16 = 0
0 = 0