\(\left\{x^2-\left[16^2-\left(8^2-9.7\right)^3-17.15\right]^3-5.3\right\}^3=1\)
\(\left\{x^2-\left[256-\left(64-9.7\right)^3-17.15\right]^3-5.3\right\}^3=1\)
\(\left\{x^2-\left[256-1^3-255\right]^3-15\right\}^3=1\)
\(\left\{x^2-\left[255-255\right]^3-15\right\}^3=1\)
\(\left\{x^2-0^3-15\right\}^3=1\)
\(\left\{x^2-15\right\}^3=1\)
\(\left\{4^2-15\right\}^3=1\)
\(\Rightarrow x=4\)