Answer: The answer is [tex]x=\pm\sqrt{3}.[/tex].
Step-by-step explanation: The given equation is
[tex]8x^2-24=3x^2-9.[/tex]
We are given to solve the above quadratic equation. Since there is no term containing 'x', so we will be using the square root method to solve the equation.
The solution is as follows:
[tex]8x^2-24=3x^2-9\\\\\Rightarrow 8x^2-3x^2=-9+24\\\\\Rightarrow 5x^2=15\\\\\Rightarrow x^2=3\\\\\Rightarrow x=\pm\sqrt{3}.[/tex]
Thus, the required solution is [tex]x=\pm\sqrt{3}.[/tex]
