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 for solving equations in which a variable is squared. When an equation is in the form x² = k, taking the square root of both sides yields x = ±?k. This property allows for a straightforward solution to quadratic equations, assuming the variable can be isolated such that its square equals a constant.

Quadratic Equations

Quadratic equations are second degree polynomial equations typically expressed in the form ax² + bx + c = 0. These equations have at most two solutions, and various methods such as factoring, completing the square, or using the quadratic formula (and, as in this context, the square root property) can be employed to find the values of the variable that satisfy the equation.

Complex Numbers

Complex numbers extend the real number system to include the square roots of negative numbers, expressed in the form a ± bi where a and b are real numbers, and i is the imaginary unit with the property i² = -1. In the context of solving quadratic equations, if taking the square root of a negative number is required, the solutions are represented as complex numbers.

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