Answer:
The first choice and the last have no real roots.
Step-by-step explanation:
For an equation to have no real roots the value of the discriminant ( b^2 - 4ac) will be negative.
Working out the values:
1. D = (-2)^2 - 4* -1*-6 = -20 so it has no real roots.
2. D = (3)^2 - 4* -2* 4 = 41 so it does have real roots.
3. D = (1)^2 - 4* 2*-6 = 49 so real roots.
4. D = (-1)^2 - 4* 2*3 = -23 so no real roots
