\( \left.\begin{array}{|l|l}\begin{array}{l}\text { Solve the equation by using the square } \\ \text { root property. Simplify all radicals. }\end{array} & \begin{array}{l}\text { Select the correct choice } \\ \text { below and, if necessary, fill in the } \\ \text { answer box to complete your } \\ \text { choice. }\end{array} \\ \begin{array}{l}\text { che }\end{array} \\ \begin{array}{l}\text { A. The solution set is }\{ \\ \text { (Type an integer or a } \\ \text { simplified fraction. Type } \\ \text { an exact answer, using } \\ \text { radicals as needed. Use } \\ \text { a comma to separate } \\ \text { answers as needed.) }\end{array} \\ \text { B. There is no real solution. }\end{array}\right\} \)
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To solve the equation using the square root property, first, isolate the variable on one side. Suppose you have an equation of the form \( x^2 = k \). You take the square root of both sides, giving you \( x = \pm\sqrt{k} \). Remember, if \( k \) is negative, the solutions are purely imaginary, meaning there are no real solutions. Always simplify the square root to its simplest radical form! After finding your solutions, double-check your work! Many people forget to consider both the positive and negative roots, which can lead to missed answers. Also, be careful with your arithmetic when simplifying radicals. It's easy to make a mistake when breaking them down, especially with larger numbers or higher powers. Keep it neat, and watch out for those pesky calculation errors!