Correct. Evaluating $\displaystyle{{b}}^{{2}}-{4}{a}{c}\usepackage{cmbright}\Huge\$ for this equation, you find that $\displaystyle{{\left(-{3}\right)}}^{{2}}-{4}{\left({1}\right)}{\left({9}\right)}={9}-{36}=-{27}\usepackage{cmbright}\Huge\$ , which is less than zero. This means that the quadratic equation has no solution.