Question

 { x²  - ( 8 ²  - ( 5² - 8 x 3 )³ - 7 x 9)³  - 4.12) ³  = 8000

Answer 1

\(\left\{x^2-\left[8^2-\left(5^2-8.3\right)^3-7.9\right]^3-4.12\right\}^3=8000.\)

\(\Rightarrow\left\{x^2-\left[8^2-\left(25-24\right)^3-7.9\right]^3-4.12\right\}^3=8000\)

\(\Rightarrow\left\{x^2-\left[8^2-\left(25-24\right)^3-63\right]^3-48\right\}^3=8000\)

\(\Rightarrow\left\{x^2-\left[64-1-63\right]-48\right\}^3=8000\)

\(\Rightarrow\left(x^2-48\right)^3=8000\)\(\Rightarrow x^2-48=20\)

\(\Rightarrow x^2=68\)\(\Rightarrow x=2\sqrt{17}\)