[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex] \sf \: 4 x ^ { 2 } = 81[/tex]
Divide both sides by 4.
[tex] \sf \: x^{2}=\frac{81}{4} \\ [/tex]
Take the square root of both sides of the equation.
[tex] \sf \: x \: = \sqrt{ \frac{81}{4} } \\ [/tex]
Now, simplify it.
[tex] \boxed{ \boxed{ \bf \: x = + \frac{9}{2} \: or \: - \frac{9}{2} }} \\ [/tex]
This can be further simplified to ..
[tex] \boxed{ \boxed{ \bf \: x \: = + \: 4.5 \: or \: - 4.5}}[/tex]
NOTE :-
- You can solve this equation using the quadratic formula or by finding the difference of the squares. I've found the answer by using the easiest method ⇨ finding the square root method.
