Final answer:
The solution set of the quadratic inequality (x^2 - 5 ≤ 0) is x ≤ -√5 or x ≥ √5.
Step-by-step explanation:
The solution set of the quadratic inequality (x^2 - 5 ≤ 0) can be found by examining the sign of the quadratic expression at various intervals.
To solve the inequality x^2 - 5 ≤ 0, we first find the critical points by setting the expression equal to zero: x^2 - 5 = 0. Solving this equation, we find that x = √5 or x = -√5.
Next, we test the intervals created by these critical points, as well as the intervals outside of these critical points, to determine the signs of the expression. We find that the solution set is x ≤ -√5 or x ≥ √5.