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

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Key Concepts

Complex Numbers

In some cases, taking the square root may involve negative numbers under the radical. When this happens, the solutions are expressed in terms of complex numbers using the imaginary unit 'i', defined as the square root of -1. This leads to solutions of the form a ± bi, which expands the set of possible solutions beyond the real numbers.

Square Root Property

The Square Root Property is a technique used to solve equations that have been expressed as a square, such as (expression)² = value. It involves taking the square root of both sides of the equation, accounting for both the positive and negative roots, to isolate the unknown expression.

Quadratic Equations

Quadratic equations, which are equations in which the variable is squared, can often be solved by recognizing a perfect square structure. When an equation can be written in the form (expression)² = value, it simplifies the process of finding the solution by enabling the direct use of the square root property.

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