Correct. Substituting the values $\displaystyle{a}={1},{b}={6},\usepackage{cmbright}\Huge\$ and $\displaystyle{c}={9}\usepackage{cmbright}\Huge\$ into the quadratic formula, you found that the value of the discriminant was -55: $\displaystyle{x}=\frac{{-{\left(-{1}\right)}\pm\sqrt{{{{\left(-{1}\right)}}^{{2}}-{4}{\left({7}\right)}{\left({2}\right)}}}}}{{{2}{\left({7}\right)}}}=\frac{{{1}\pm\sqrt{{{1}-{56}}}}}{{{14}}}=\frac{{{1}\pm\sqrt{{-{55}}}}}{{{14}}}\usepackage{cmbright}\Huge\$ . This means that there is no solution.