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

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Key Concepts

Standard Form of Complex Numbers

The standard form of a complex number is expressed as a ± bi, where a represents the real part and b represents the coefficient of the imaginary part. Writing solutions in this form provides a clear and consistent way to denote both the real and imaginary components of the solution.

Complex Numbers

Complex numbers extend the real number system to include solutions to equations that involve the square root of a negative number. When the radicand is negative, the imaginary unit i, defined as the square root of -1, is used to express the solution in a meaningful way within the complex number system.

Square Root Property

The square root property is a fundamental method for solving quadratic equations that are already isolated with a squared variable on one side. It involves taking the square root of both sides of the equation to yield two possible solutions, one positive and one negative, because squaring either a positive or negative number results in the same value.

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