Answer
No real solution
Work Step by Step
Use the quadratic formula to solve the equation: $$
\begin{aligned}
-2 x^2+7 x-18=0.
\end{aligned}
$$ Set $$
\begin{aligned}
& a=-2 \\
& b=7 \\
& c=-18
\end{aligned}
$$ $$
\begin{aligned}
x&=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\
x & =\frac{-7 \pm \sqrt{7^2-4(-2)(-18)}}{2(-2)} \\
& =\frac{-7 \pm \sqrt{-95}}{-4}.
\end{aligned}
$$ The equation has no real solution.
