Answer
No real solution
Work Step by Step
Given: $$
\begin{aligned}
\frac{3}{2}(x-8)^2+10 & =1.
\end{aligned}$$ We solve it by the square root method: $$\begin{aligned}
\frac{3}{2}(x-8)^2 & =1-10 \\
\frac{3}{2}(x-8)^2 & =-9.
\end{aligned}
$$ The left side is positive, while the right side is negative, The equation has no real solution.
