Final answer:
To solve the equation (5x - 2)^2 = 10, take the square root of both sides, isolate x, and solve for x.
Step-by-step explanation:
To solve the equation (5x - 2)^2 = 10, we can start by taking the square root of both sides of the equation.
√((5x-2)^2) = √10
5x-2 = ±√10
Next, we can isolate x by adding 2 to both sides of the equation.
5x = 2 ± √10
Finally, we can divide both sides of the equation by 5 to solve for x.
x = (2 ± √10)/5
Therefore, the solutions to the equation are x = (2 + √10)/5 and x = (2 - √10)/5.