Final answer:
The solutions of the equation x^(2) = m, where m is a real number, are x = √m and x = -√m.
Step-by-step explanation:
The solution(s) of the equation x² = m, where m is a real number, can be determined by taking the square root of both sides of the equation. When you take the square root of both sides, you get two possible solutions for x, because the square root of a real number m can be both positive and negative. This gives us x = √ m and x = -√ m as the two potential solutions. This is an equation in one variable, so we can solve for the unknown value. To solve the equation x^(2) = m, we can take the square root of both sides. Since the square root of a number can be positive or negative, there are two solutions to this equation. Therefore, the solutions of the equation x^(2) = m, where m is a real number, are x = √m and x = -√m.