The solution to the equation is given by:
F. [tex]x = \frac{\sqrt{10} + 2}{5}[/tex]
What is the equation?
It is given by:
[tex](5x - 2)^2 = 10[/tex]
First, we apply the square root to both sides to remove the square, hence:
[tex]\sqrt{(5x - 2)^2} = \sqrt{10}[/tex]
[tex]5x - 2 = \sqrt{10}[/tex]
Then, isolating x:
[tex]5x = \sqrt{10} + 2[/tex]
[tex]x = \frac{\sqrt{10} + 2}{5}[/tex]
Given by option F, which is the solution.
More can be learned about equations at https://brainly.com/question/25537936
