forme die Gleichungen so um, dass vorn x
2 bzw. t
2 steht; dann kannst Du die pq-Formel anwenden:
x
2 + px + q = 0
x
1,2 = -p/2 ± √(p
2/4 - q)
-x² + x+ 6 = 0| * (-1)
x2 - x - 6 = 0
x1,2 = 1/2 ± √(1/4 + 6) = 1/2 ± √(25/4) = 1/2 ± 5/2
x1 = 1/2 + 5/2 = 3
x2 = 1/2 - 5/2 = -2
x² + 2/5x - 3/5 = 0
x1,2 = -1/5 ± √(1/25 + 15/25) = -1/5 ± √(16/25) = -1/5 ± 4/5
x1 = 3/5 = 0,6
x2 = -5/5 = -1
- 1/6 t² + 1/2t + 20/3 = 0 | * (-6)
t2 - 3t - 40 = 0
t1,2 = 3/2 ± √(9/4 + 40) = 3/2 ± √(169/4) = 3/2 ± 13/2
t1 = 16/2 = 8
t2 = - 10/2 = -5
Besten Gruß