What is the nature of the roots of the equation, 2x² - 6x + 3 = 0?

1. rational and unequal

2. irrational and unequal

3. real and equal

4. imaginary and unequal

If the equation, ax² + 2x + a = 0 has two real and equal roots, then:

1. a = 0, 1

2. a = 1, 1

3. a = 0, -1

4. a = -1, 1