Let's solve the equation (x-3)^2 = 5. To find the value of x, we'll take the square root of both sides of the equation.
Taking the square root of both sides, we get:
x - 3 = ±√5
Now, let's solve for x. Adding 3 to both sides of the equation, we have:
x = 3 ± √5
Rounding to 3 significant figures, the solutions are:
x ≈ 3 + 2.24 ≈ 5.24
x ≈ 3 - 2.24 ≈ 0.76
So, the solutions to the equation (x-3)^2 = 5, rounded to 3 significant figures, are
x ≈ 5.24 and x ≈ 0.76.