SAT math practice question: Quadratic equations with no solution

 
Try the following SAT math practice question (Calculator Permitted) that tests your understanding of quadratic equations that have no solutions.

Question(Calculator Permitted):

The quadratic equation $2x^2 – 3x + k=0$, where $k$ is a constant, will have no real solutions for which of the following values of $k$ ?

1. $\quad \displaystyle \frac{7}{8}$
2. $\quad 1$
3. $\quad \displaystyle \frac{9}{8}$
4. $\quad \displaystyle \frac{3}{2}$