For Exercises 11-38, use the square root property to solve...

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Key Concepts

Square Root Property

The square root property is a method used to solve equations of the form (expression)^2 = k by taking the square root of both sides, which leads to the solutions expression = ±?k. It simplifies solving quadratic equations when they are already in or can be manipulated into a perfect square form.

Complex Numbers

Complex numbers extend the real number system by including the imaginary unit i, where i^2 = -1. When taking the square root of a negative number, the result is a complex number expressed in the form a ± bi, allowing for solutions that are not found within the set of real numbers.

Equation Manipulation

Rearranging equations to isolate the squared term is a vital step for applying the square root property effectively. This process involves moving constant terms to the opposite side of the equation to clearly exhibit a squared expression equal to a constant, setting up the problem for a straightforward application of the square root property.

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