Answer:
Below.
Step-by-step explanation:
The value of the discriminant (b^2 - 4ac) will give you the nature of the roots.
ax^2 + bx + c = 0 - is the general form of a quadratic.
2x^2 - 6x + 9/2 = 0 Comparing with the above:
Here b = -6, a = 2 and c = 9/2 so:
the discriminant = (-6)^2 - 4*2*9/2
= 36 - 8 * 9/2
= 36 - 72/2
= 36 - 36
= 0
This tells us that the roots are real, rational and have multiplicity 2 ( duplicate roots).
