Question

3a²−4a+9=0 Use the discriminant to determine the number of real solutions to the quadratic equation.

Answer 1

None

Explanation:

The discriminant of a quadratic equation is
`b^2-4ac`. In this case, that is:

`(-4)^2-4(3)(9)=16-108=-92`

Since the discriminant is negative, the square root will be a complex number, and this equation must have no real solutions. Hope this helps!